\documentclass[9pt]{article}
\usepackage{amsmath}
\begin{document}
Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  0.0 & +  6.00 x_{1} &   & -6.00 x_{3} & -7.00 x_{4} & +  1.00 x_{5} & -10.00 x_{6} & + 10.00 x_{7} & +  8.00 x_{8} &   & + 10.00 x_{10} & +  7.00 x_{11} & +  9.00 x_{12} & + 10.00 x_{13} & +  7.00 x_{14} & +  2.00 x_{15}\\
 x_{17}   &  1.0 & +  7.00 x_{1} & +  5.00 x_{2} & -8.00 x_{3} & +  2.00 x_{4} & +  9.00 x_{5} & -4.00 x_{6} & +  2.00 x_{7} & + 10.00 x_{8} & +  5.00 x_{9} & -10.00 x_{10} & + 10.00 x_{11} & +  2.00 x_{12} & +  9.00 x_{13} & +  2.00 x_{14} & +  2.00 x_{15}\\
 x_{18}   &  -3.0 & +  8.00 x_{1} & -1.00 x_{2} & -3.00 x_{3} & -7.00 x_{4} & -9.00 x_{5} & -1.00 x_{6} & +  9.00 x_{7} & +  2.00 x_{8} & -3.00 x_{9} & + 10.00 x_{10} & -9.00 x_{11} & -10.00 x_{12} & +  8.00 x_{13} & -5.00 x_{14} & -5.00 x_{15}\\
 x_{19}   &  -3.0 & +  4.00 x_{1} & -10.00 x_{2} & +  4.00 x_{3} & -1.00 x_{4} & + 10.00 x_{5} & -2.00 x_{6} & -3.00 x_{7} & +  9.00 x_{8} &   & +  2.00 x_{10} & -6.00 x_{11} & -4.00 x_{12} & +  4.00 x_{13} & -2.00 x_{14} & -10.00 x_{15}\\
 x_{20}   &  0.0 & -2.00 x_{1} & -7.00 x_{2} & +  6.00 x_{3} & + 10.00 x_{4} & -6.00 x_{5} & +  7.00 x_{6} & -2.00 x_{7} & +  2.00 x_{8} & -6.00 x_{9} & -4.00 x_{10} & -6.00 x_{11} & +  4.00 x_{12} & +  6.00 x_{13} & +  4.00 x_{14} & +  3.00 x_{15}\\
 x_{21}   &  0.0 & -3.00 x_{1} & + 10.00 x_{2} & +  8.00 x_{3} & +  6.00 x_{4} &   & +  1.00 x_{6} & -8.00 x_{7} & -7.00 x_{8} & +  9.00 x_{9} & +  5.00 x_{10} & -7.00 x_{11} & -5.00 x_{12} & +  3.00 x_{13} & -8.00 x_{14} & -9.00 x_{15}\\
 x_{22}   &  1.0 & -9.00 x_{1} & -1.00 x_{2} & +  1.00 x_{3} & +  4.00 x_{4} & +  3.00 x_{5} & +  7.00 x_{6} & +  4.00 x_{7} & -8.00 x_{8} & -10.00 x_{9} & -10.00 x_{10} & +  7.00 x_{11} & -7.00 x_{12} & +  3.00 x_{13} & -3.00 x_{14} & +  6.00 x_{15}\\
 x_{23}   &  0.0 & +  4.00 x_{1} & -1.00 x_{2} & +  6.00 x_{3} & +  9.00 x_{4} & +  1.00 x_{5} & -2.00 x_{6} & -1.00 x_{7} & -8.00 x_{8} & +  9.00 x_{9} & +  3.00 x_{10} & +  1.00 x_{11} & -5.00 x_{12} & -2.00 x_{13} & +  5.00 x_{14} & -4.00 x_{15}\\
 x_{24}   &  1.0 & +  2.00 x_{1} & -10.00 x_{2} & +  1.00 x_{3} & -8.00 x_{4} & +  2.00 x_{5} & -7.00 x_{6} & -2.00 x_{7} & +  6.00 x_{8} & -1.00 x_{9} & -2.00 x_{10} &   & +  7.00 x_{12} & + 10.00 x_{13} & -9.00 x_{14} & -7.00 x_{15}\\
 x_{25}   &  -1.0 & -10.00 x_{1} & +  5.00 x_{2} & +  2.00 x_{3} & -6.00 x_{4} & +  6.00 x_{5} & +  9.00 x_{6} & -9.00 x_{7} & -7.00 x_{8} & -9.00 x_{9} & +  6.00 x_{10} & -2.00 x_{11} & -9.00 x_{12} & +  4.00 x_{13} & +  2.00 x_{14} & +  9.00 x_{15}\\
 x_{26}   &  -3.0 & +  8.00 x_{1} & +  3.00 x_{2} & +  6.00 x_{3} & +  6.00 x_{4} & -8.00 x_{5} & +  7.00 x_{6} & -2.00 x_{7} & -10.00 x_{8} & -7.00 x_{9} & + 10.00 x_{10} & +  5.00 x_{11} & + 10.00 x_{12} & -1.00 x_{13} & +  6.00 x_{14} & -8.00 x_{15}\\
 x_{27}   &  1.0 & -5.00 x_{1} & +  4.00 x_{2} & -1.00 x_{3} & -6.00 x_{4} & +  5.00 x_{5} & +  9.00 x_{6} &   & +  8.00 x_{8} & -1.00 x_{9} & -6.00 x_{10} & -6.00 x_{11} & +  1.00 x_{12} & +  4.00 x_{13} & +  6.00 x_{14} & +  2.00 x_{15}\\
 x_{28}   &  -2.0 & -10.00 x_{1} & +  3.00 x_{2} & +  5.00 x_{3} & +  2.00 x_{4} & -1.00 x_{5} & -1.00 x_{6} & +  9.00 x_{7} & +  4.00 x_{8} & + 10.00 x_{9} & +  9.00 x_{10} & +  4.00 x_{11} & -5.00 x_{12} & -9.00 x_{13} & -6.00 x_{14} & -8.00 x_{15}\\
 x_{29}   &  -2.0 & +  5.00 x_{1} & +  6.00 x_{2} & + 10.00 x_{3} & -10.00 x_{4} & +  3.00 x_{5} & -1.00 x_{6} & -9.00 x_{7} & -5.00 x_{8} & -5.00 x_{9} & -3.00 x_{10} & +  1.00 x_{11} & +  8.00 x_{12} & -9.00 x_{13} & -10.00 x_{14} & -10.00 x_{15}\\
 x_{30}   &  0.0 & -9.00 x_{1} & +  8.00 x_{2} & +  3.00 x_{3} & +  2.00 x_{4} & +  7.00 x_{5} & -1.00 x_{6} & +  7.00 x_{7} & + 10.00 x_{8} & -7.00 x_{9} & +  6.00 x_{10} & +  8.00 x_{11} & +  5.00 x_{12} & +  4.00 x_{13} & +  3.00 x_{14} & +  5.00 x_{15}\\
 x_{31}   &  -3.0 & -5.00 x_{1} & +  6.00 x_{2} & -6.00 x_{3} &   & +  3.00 x_{5} & -5.00 x_{6} & + 10.00 x_{7} &   & -5.00 x_{9} & -1.00 x_{10} & +  9.00 x_{11} & +  1.00 x_{12} & +  3.00 x_{13} & +  1.00 x_{14} & +  8.00 x_{15}\\
 x_{32}   &  0.0 & +  6.00 x_{1} &   & -5.00 x_{3} &   & +  9.00 x_{5} & +  9.00 x_{6} & +  9.00 x_{7} & -9.00 x_{8} & +  5.00 x_{9} & -10.00 x_{10} & +  9.00 x_{11} & -8.00 x_{12} & -6.00 x_{13} & -5.00 x_{14} & -7.00 x_{15}\\
 x_{33}   &  2.0 & -4.00 x_{1} & + 10.00 x_{2} & +  5.00 x_{3} & +  3.00 x_{4} &   & -6.00 x_{6} & +  8.00 x_{7} & -1.00 x_{8} & -9.00 x_{9} & +  6.00 x_{10} & +  2.00 x_{11} & +  7.00 x_{12} & -1.00 x_{13} & -8.00 x_{14} & +  2.00 x_{15}\\
\hline
z    &  0.0 & -1.00 x_{1} & -3.00 x_{2} & -1.00 x_{3} & -2.00 x_{4} & -4.00 x_{5} & -1.00 x_{6} & +  3.00 x_{7} & +  3.00 x_{8} & -5.00 x_{9} & -3.00 x_{10} & +  4.00 x_{11} & -2.00 x_{12} & -4.00 x_{13} & +  4.00 x_{14} & -5.00 x_{15}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{15}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,33$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & -6.00 y_{16} & -7.00 y_{17} & -8.00 y_{18} & -4.00 y_{19} & +  2.00 y_{20} & +  3.00 y_{21} & +  9.00 y_{22} & -4.00 y_{23} & -2.00 y_{24} & + 10.00 y_{25} & -8.00 y_{26} & +  5.00 y_{27} & + 10.00 y_{28} & -5.00 y_{29} & +  9.00 y_{30} & +  5.00 y_{31} & -6.00 y_{32} & +  4.00 y_{33}\\
 y_{2}   &  1.0  &   & -5.00 y_{17} & +  1.00 y_{18} & + 10.00 y_{19} & +  7.00 y_{20} & -10.00 y_{21} & +  1.00 y_{22} & +  1.00 y_{23} & + 10.00 y_{24} & -5.00 y_{25} & -3.00 y_{26} & -4.00 y_{27} & -3.00 y_{28} & -6.00 y_{29} & -8.00 y_{30} & -6.00 y_{31} &   & -10.00 y_{33}\\
 y_{3}   &  1.0 & +  6.00 y_{16} & +  8.00 y_{17} & +  3.00 y_{18} & -4.00 y_{19} & -6.00 y_{20} & -8.00 y_{21} & -1.00 y_{22} & -6.00 y_{23} & -1.00 y_{24} & -2.00 y_{25} & -6.00 y_{26} & +  1.00 y_{27} & -5.00 y_{28} & -10.00 y_{29} & -3.00 y_{30} & +  6.00 y_{31} & +  5.00 y_{32} & -5.00 y_{33}\\
 y_{4}   &  1.0 & +  7.00 y_{16} & -2.00 y_{17} & +  7.00 y_{18} & +  1.00 y_{19} & -10.00 y_{20} & -6.00 y_{21} & -4.00 y_{22} & -9.00 y_{23} & +  8.00 y_{24} & +  6.00 y_{25} & -6.00 y_{26} & +  6.00 y_{27} & -2.00 y_{28} & + 10.00 y_{29} & -2.00 y_{30} &    &   & -3.00 y_{33}\\
 y_{5}   &  1.0 & -1.00 y_{16} & -9.00 y_{17} & +  9.00 y_{18} & -10.00 y_{19} & +  6.00 y_{20} &   & -3.00 y_{22} & -1.00 y_{23} & -2.00 y_{24} & -6.00 y_{25} & +  8.00 y_{26} & -5.00 y_{27} & +  1.00 y_{28} & -3.00 y_{29} & -7.00 y_{30} & -3.00 y_{31} & -9.00 y_{32} &   \\
 y_{6}   &  1.0 & + 10.00 y_{16} & +  4.00 y_{17} & +  1.00 y_{18} & +  2.00 y_{19} & -7.00 y_{20} & -1.00 y_{21} & -7.00 y_{22} & +  2.00 y_{23} & +  7.00 y_{24} & -9.00 y_{25} & -7.00 y_{26} & -9.00 y_{27} & +  1.00 y_{28} & +  1.00 y_{29} & +  1.00 y_{30} & +  5.00 y_{31} & -9.00 y_{32} & +  6.00 y_{33}\\
 y_{7}   &  1.0 & -10.00 y_{16} & -2.00 y_{17} & -9.00 y_{18} & +  3.00 y_{19} & +  2.00 y_{20} & +  8.00 y_{21} & -4.00 y_{22} & +  1.00 y_{23} & +  2.00 y_{24} & +  9.00 y_{25} & +  2.00 y_{26} &   & -9.00 y_{28} & +  9.00 y_{29} & -7.00 y_{30} & -10.00 y_{31} & -9.00 y_{32} & -8.00 y_{33}\\
 y_{8}   &  1.0 & -8.00 y_{16} & -10.00 y_{17} & -2.00 y_{18} & -9.00 y_{19} & -2.00 y_{20} & +  7.00 y_{21} & +  8.00 y_{22} & +  8.00 y_{23} & -6.00 y_{24} & +  7.00 y_{25} & + 10.00 y_{26} & -8.00 y_{27} & -4.00 y_{28} & +  5.00 y_{29} & -10.00 y_{30} &   & +  9.00 y_{32} & +  1.00 y_{33}\\
 y_{9}   &  1.0  &   & -5.00 y_{17} & +  3.00 y_{18} &   & +  6.00 y_{20} & -9.00 y_{21} & + 10.00 y_{22} & -9.00 y_{23} & +  1.00 y_{24} & +  9.00 y_{25} & +  7.00 y_{26} & +  1.00 y_{27} & -10.00 y_{28} & +  5.00 y_{29} & +  7.00 y_{30} & +  5.00 y_{31} & -5.00 y_{32} & +  9.00 y_{33}\\
 y_{10}   &  1.0 & -10.00 y_{16} & + 10.00 y_{17} & -10.00 y_{18} & -2.00 y_{19} & +  4.00 y_{20} & -5.00 y_{21} & + 10.00 y_{22} & -3.00 y_{23} & +  2.00 y_{24} & -6.00 y_{25} & -10.00 y_{26} & +  6.00 y_{27} & -9.00 y_{28} & +  3.00 y_{29} & -6.00 y_{30} & +  1.00 y_{31} & + 10.00 y_{32} & -6.00 y_{33}\\
 y_{11}   &  1.0 & -7.00 y_{16} & -10.00 y_{17} & +  9.00 y_{18} & +  6.00 y_{19} & +  6.00 y_{20} & +  7.00 y_{21} & -7.00 y_{22} & -1.00 y_{23} &   & +  2.00 y_{25} & -5.00 y_{26} & +  6.00 y_{27} & -4.00 y_{28} & -1.00 y_{29} & -8.00 y_{30} & -9.00 y_{31} & -9.00 y_{32} & -2.00 y_{33}\\
 y_{12}   &  1.0 & -9.00 y_{16} & -2.00 y_{17} & + 10.00 y_{18} & +  4.00 y_{19} & -4.00 y_{20} & +  5.00 y_{21} & +  7.00 y_{22} & +  5.00 y_{23} & -7.00 y_{24} & +  9.00 y_{25} & -10.00 y_{26} & -1.00 y_{27} & +  5.00 y_{28} & -8.00 y_{29} & -5.00 y_{30} & -1.00 y_{31} & +  8.00 y_{32} & -7.00 y_{33}\\
 y_{13}   &  1.0 & -10.00 y_{16} & -9.00 y_{17} & -8.00 y_{18} & -4.00 y_{19} & -6.00 y_{20} & -3.00 y_{21} & -3.00 y_{22} & +  2.00 y_{23} & -10.00 y_{24} & -4.00 y_{25} & +  1.00 y_{26} & -4.00 y_{27} & +  9.00 y_{28} & +  9.00 y_{29} & -4.00 y_{30} & -3.00 y_{31} & +  6.00 y_{32} & +  1.00 y_{33}\\
 y_{14}   &  1.0 & -7.00 y_{16} & -2.00 y_{17} & +  5.00 y_{18} & +  2.00 y_{19} & -4.00 y_{20} & +  8.00 y_{21} & +  3.00 y_{22} & -5.00 y_{23} & +  9.00 y_{24} & -2.00 y_{25} & -6.00 y_{26} & -6.00 y_{27} & +  6.00 y_{28} & + 10.00 y_{29} & -3.00 y_{30} & -1.00 y_{31} & +  5.00 y_{32} & +  8.00 y_{33}\\
 y_{15}   &  1.0 & -2.00 y_{16} & -2.00 y_{17} & +  5.00 y_{18} & + 10.00 y_{19} & -3.00 y_{20} & +  9.00 y_{21} & -6.00 y_{22} & +  4.00 y_{23} & +  7.00 y_{24} & -9.00 y_{25} & +  8.00 y_{26} & -2.00 y_{27} & +  8.00 y_{28} & + 10.00 y_{29} & -5.00 y_{30} & -8.00 y_{31} & +  7.00 y_{32} & -2.00 y_{33}\\
\hline
z    &  -0  &   & -1.00 y_{17} & +  3.00 y_{18} & +  3.00 y_{19} &    &   & -1.00 y_{22} &   & -1.00 y_{24} & +  1.00 y_{25} & +  3.00 y_{26} & -1.00 y_{27} & +  2.00 y_{28} & +  2.00 y_{29} &   & +  3.00 y_{31} &   & -2.00 y_{33}\\
\end{array}\]
Initialization succeeded in finding final dual dictionary with 29 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{29}   &  0.179800841136 & -0.33 y_{16} & +  3.64 y_{28} & +  0.02 y_{3} & -0.11 y_{2} & +  0.07 y_{7} & -0.12 y_{13} & +  0.05 y_{22} & -1.04 y_{21} & -0.70 y_{24} & +  0.10 y_{10} & +  0.21 y_{23} & -1.08 y_{27} & -0.02 y_{5} & -0.12 y_{1} & +  0.71 y_{30} & -3.71 y_{17} & -0.64 y_{32} & +  0.77 y_{33}\\
 y_{8}   &  0.899016147704 & +  0.12 y_{16} & -43.26 y_{28} & -0.91 y_{3} & -0.04 y_{2} & -0.53 y_{7} & +  1.10 y_{13} & +  9.71 y_{22} & -1.17 y_{21} & + 10.48 y_{24} & -0.98 y_{10} & +  2.64 y_{23} & -0.33 y_{27} & +  0.39 y_{5} & +  1.07 y_{1} & -25.09 y_{30} & + 26.70 y_{17} & + 21.82 y_{32} & -19.44 y_{33}\\
 y_{11}   &  0.973516378677 & -21.58 y_{16} & + 101.62 y_{28} & +  2.28 y_{3} & -1.21 y_{2} & +  2.83 y_{7} & -3.26 y_{13} & +  2.83 y_{22} & -1.97 y_{21} & -32.70 y_{24} & +  1.89 y_{10} & + 12.94 y_{23} & -12.02 y_{27} & +  0.09 y_{5} & -2.61 y_{1} & + 31.43 y_{30} & -94.32 y_{17} & -9.10 y_{32} & + 45.02 y_{33}\\
 y_{4}   &  3.47075985591 & -15.27 y_{16} & + 125.68 y_{28} & +  2.92 y_{3} & -2.86 y_{2} & +  3.22 y_{7} & -3.81 y_{13} & + 10.43 y_{22} & -25.74 y_{21} & -18.32 y_{24} & +  2.37 y_{10} & +  7.62 y_{23} & -22.85 y_{27} & -0.65 y_{5} & -3.65 y_{1} & + 33.57 y_{30} & -122.57 y_{17} & -14.14 y_{32} & + 41.30 y_{33}\\
 y_{25}   &  0.0359444540381 & -0.28 y_{16} & +  1.39 y_{28} & +  0.03 y_{3} & -0.05 y_{2} & +  0.07 y_{7} & -0.07 y_{13} & +  0.16 y_{22} & -0.93 y_{21} & -0.39 y_{24} & +  0.00 y_{10} & +  0.28 y_{23} & -0.52 y_{27} & -0.01 y_{5} & -0.01 y_{1} & -0.06 y_{30} & -1.16 y_{17} & +  0.73 y_{32} & +  0.34 y_{33}\\
 y_{6}   &  1.88700986279 & +  2.34 y_{16} & + 28.11 y_{28} & +  0.80 y_{3} & -0.50 y_{2} & +  0.11 y_{7} & -0.51 y_{13} & -6.55 y_{22} & +  5.37 y_{21} & +  2.63 y_{24} & +  0.82 y_{10} & +  5.74 y_{23} & -15.78 y_{27} & -0.51 y_{5} & -1.11 y_{1} & +  9.52 y_{30} & -29.82 y_{17} & -28.36 y_{32} & + 15.78 y_{33}\\
 y_{20}   &  0.0477975777402 & +  0.32 y_{16} & -0.36 y_{28} & -0.08 y_{3} & +  0.01 y_{2} & -0.03 y_{7} & -0.04 y_{13} & -0.81 y_{22} & -0.38 y_{21} & -0.40 y_{24} & +  0.03 y_{10} & -0.12 y_{23} & -0.25 y_{27} & +  0.03 y_{5} & +  0.03 y_{1} & -0.44 y_{30} & +  0.41 y_{17} & +  0.47 y_{32} & -0.45 y_{33}\\
 y_{26}   &  0.0180542573605 & +  0.65 y_{16} & -6.68 y_{28} & -0.16 y_{3} & +  0.10 y_{2} & -0.16 y_{7} & +  0.19 y_{13} & -0.10 y_{22} & +  0.34 y_{21} & +  1.69 y_{24} & -0.16 y_{10} & -1.15 y_{23} & +  1.60 y_{27} & +  0.01 y_{5} & +  0.15 y_{1} & -2.26 y_{30} & +  6.04 y_{17} & +  0.86 y_{32} & -2.83 y_{33}\\
 y_{9}   &  4.15307506207 & -2.74 y_{16} & -27.53 y_{28} & -1.50 y_{3} & -0.58 y_{2} & -0.66 y_{7} & -0.52 y_{13} & +  3.04 y_{22} & -25.83 y_{21} & +  2.68 y_{24} & -0.27 y_{10} & -14.75 y_{23} & -3.13 y_{27} & -0.10 y_{5} & +  0.47 y_{1} & -15.38 y_{30} & +  3.21 y_{17} & +  4.31 y_{32} & -12.52 y_{33}\\
 y_{18}   &  0.132031602011 & -1.41 y_{16} & +  5.79 y_{28} & +  0.12 y_{3} & -0.12 y_{2} & +  0.13 y_{7} & -0.20 y_{13} & +  0.63 y_{22} & -0.81 y_{21} & -1.51 y_{24} & +  0.10 y_{10} & +  0.74 y_{23} & -1.16 y_{27} & +  0.00 y_{5} & -0.17 y_{1} & +  1.65 y_{30} & -5.27 y_{17} & -0.28 y_{32} & +  1.94 y_{33}\\
 y_{31}   &  0.224262139211 & -0.18 y_{16} & -3.34 y_{28} & -0.13 y_{3} & -0.00 y_{2} & -0.14 y_{7} & +  0.04 y_{13} & -0.99 y_{22} & -0.18 y_{21} & +  0.76 y_{24} & -0.04 y_{10} & -0.54 y_{23} & -0.05 y_{27} & -0.03 y_{5} & +  0.08 y_{1} & -2.37 y_{30} & +  1.67 y_{17} & -0.40 y_{32} & -2.36 y_{33}\\
 y_{12}   &  1.08607366486 & -31.90 y_{16} & + 113.17 y_{28} & +  3.16 y_{3} & -1.57 y_{2} & +  2.96 y_{7} & -3.41 y_{13} & + 19.05 y_{22} & -3.91 y_{21} & -36.97 y_{24} & +  1.59 y_{10} & + 23.84 y_{23} & -22.64 y_{27} & -0.30 y_{5} & -2.51 y_{1} & + 28.97 y_{30} & -96.16 y_{17} & +  5.64 y_{32} & + 39.73 y_{33}\\
 y_{19}   &  0.119164827816 & -0.33 y_{16} & -1.16 y_{28} & -0.06 y_{3} & +  0.05 y_{2} & -0.05 y_{7} & +  0.02 y_{13} & -0.11 y_{22} & +  0.24 y_{21} & -0.22 y_{24} & -0.04 y_{10} & -0.49 y_{23} & +  0.23 y_{27} & -0.05 y_{5} & +  0.01 y_{1} & -0.76 y_{30} & +  0.74 y_{17} & -0.31 y_{32} & -0.51 y_{33}\\
 y_{14}   &  3.10082917463 & -22.46 y_{16} & + 111.04 y_{28} & +  2.04 y_{3} & -2.16 y_{2} & +  2.36 y_{7} & -3.07 y_{13} & + 10.97 y_{22} & -4.48 y_{21} & -14.55 y_{24} & +  2.31 y_{10} & +  7.23 y_{23} & -29.59 y_{27} & -0.46 y_{5} & -3.12 y_{1} & + 28.72 y_{30} & -101.19 y_{17} & -11.50 y_{32} & + 44.85 y_{33}\\
 y_{15}   &  2.5332588252 & -7.47 y_{16} & + 23.61 y_{28} & -0.11 y_{3} & +  0.02 y_{2} & +  0.20 y_{7} & -0.05 y_{13} & +  4.64 y_{22} & + 10.68 y_{21} & +  2.39 y_{24} & +  0.05 y_{10} & -2.13 y_{23} & +  2.39 y_{27} & -0.35 y_{5} & -1.30 y_{1} & +  5.56 y_{30} & -13.87 y_{17} & -1.75 y_{32} & +  4.82 y_{33}\\
\hline
z    &  1.87608461551 & -4.74 y_{16} & -5.52 y_{28} & -0.61 y_{3} & -0.18 y_{2} & -0.46 y_{7} & -0.15 y_{13} & -2.49 y_{22} & -4.24 y_{21} & -0.63 y_{24} & -0.18 y_{10} & -3.62 y_{23} & -1.82 y_{27} & -0.27 y_{5} & -0.02 y_{1} & -9.85 y_{30} & -0.06 y_{17} & -0.94 y_{32} & -11.38 y_{33}\\
\end{array}\]
Primal Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.73968336952 & +  0.33 x_{29} & -0.12 x_{8} & + 21.58 x_{11} & + 15.27 x_{4} & +  0.28 x_{25} & -2.34 x_{6} & -0.32 x_{20} & -0.65 x_{26} & +  2.74 x_{9} & +  1.41 x_{18} & +  0.18 x_{31} & + 31.90 x_{12} & +  0.33 x_{19} & + 22.46 x_{14} & +  7.47 x_{15}\\
 x_{28}   &  5.51591995203 & -3.64 x_{29} & + 43.26 x_{8} & -101.62 x_{11} & -125.68 x_{4} & -1.39 x_{25} & -28.11 x_{6} & +  0.36 x_{20} & +  6.68 x_{26} & + 27.53 x_{9} & -5.79 x_{18} & +  3.34 x_{31} & -113.17 x_{12} & +  1.16 x_{19} & -111.04 x_{14} & -23.61 x_{15}\\
 x_{3}   &  0.608418142249 & -0.02 x_{29} & +  0.91 x_{8} & -2.28 x_{11} & -2.92 x_{4} & -0.03 x_{25} & -0.80 x_{6} & +  0.08 x_{20} & +  0.16 x_{26} & +  1.50 x_{9} & -0.12 x_{18} & +  0.13 x_{31} & -3.16 x_{12} & +  0.06 x_{19} & -2.04 x_{14} & +  0.11 x_{15}\\
 x_{2}   &  0.178473001639 & +  0.11 x_{29} & +  0.04 x_{8} & +  1.21 x_{11} & +  2.86 x_{4} & +  0.05 x_{25} & +  0.50 x_{6} & -0.01 x_{20} & -0.10 x_{26} & +  0.58 x_{9} & +  0.12 x_{18} & +  0.00 x_{31} & +  1.57 x_{12} & -0.05 x_{19} & +  2.16 x_{14} & -0.02 x_{15}\\
 x_{7}   &  0.463096771919 & -0.07 x_{29} & +  0.53 x_{8} & -2.83 x_{11} & -3.22 x_{4} & -0.07 x_{25} & -0.11 x_{6} & +  0.03 x_{20} & +  0.16 x_{26} & +  0.66 x_{9} & -0.13 x_{18} & +  0.14 x_{31} & -2.96 x_{12} & +  0.05 x_{19} & -2.36 x_{14} & -0.20 x_{15}\\
 x_{13}   &  0.151398534391 & +  0.12 x_{29} & -1.10 x_{8} & +  3.26 x_{11} & +  3.81 x_{4} & +  0.07 x_{25} & +  0.51 x_{6} & +  0.04 x_{20} & -0.19 x_{26} & +  0.52 x_{9} & +  0.20 x_{18} & -0.04 x_{31} & +  3.41 x_{12} & -0.02 x_{19} & +  3.07 x_{14} & +  0.05 x_{15}\\
 x_{22}   &  2.48518895033 & -0.05 x_{29} & -9.71 x_{8} & -2.83 x_{11} & -10.43 x_{4} & -0.16 x_{25} & +  6.55 x_{6} & +  0.81 x_{20} & +  0.10 x_{26} & -3.04 x_{9} & -0.63 x_{18} & +  0.99 x_{31} & -19.05 x_{12} & +  0.11 x_{19} & -10.97 x_{14} & -4.64 x_{15}\\
 x_{21}   &  4.24245060219 & +  1.04 x_{29} & +  1.17 x_{8} & +  1.97 x_{11} & + 25.74 x_{4} & +  0.93 x_{25} & -5.37 x_{6} & +  0.38 x_{20} & -0.34 x_{26} & + 25.83 x_{9} & +  0.81 x_{18} & +  0.18 x_{31} & +  3.91 x_{12} & -0.24 x_{19} & +  4.48 x_{14} & -10.68 x_{15}\\
 x_{24}   &  0.628846019334 & +  0.70 x_{29} & -10.48 x_{8} & + 32.70 x_{11} & + 18.32 x_{4} & +  0.39 x_{25} & -2.63 x_{6} & +  0.40 x_{20} & -1.69 x_{26} & -2.68 x_{9} & +  1.51 x_{18} & -0.76 x_{31} & + 36.97 x_{12} & +  0.22 x_{19} & + 14.55 x_{14} & -2.39 x_{15}\\
 x_{10}   &  0.183007559302 & -0.10 x_{29} & +  0.98 x_{8} & -1.89 x_{11} & -2.37 x_{4} & -0.00 x_{25} & -0.82 x_{6} & -0.03 x_{20} & +  0.16 x_{26} & +  0.27 x_{9} & -0.10 x_{18} & +  0.04 x_{31} & -1.59 x_{12} & +  0.04 x_{19} & -2.31 x_{14} & -0.05 x_{15}\\
 x_{23}   &  3.6209390716 & -0.21 x_{29} & -2.64 x_{8} & -12.94 x_{11} & -7.62 x_{4} & -0.28 x_{25} & -5.74 x_{6} & +  0.12 x_{20} & +  1.15 x_{26} & + 14.75 x_{9} & -0.74 x_{18} & +  0.54 x_{31} & -23.84 x_{12} & +  0.49 x_{19} & -7.23 x_{14} & +  2.13 x_{15}\\
 x_{27}   &  1.82452975431 & +  1.08 x_{29} & +  0.33 x_{8} & + 12.02 x_{11} & + 22.85 x_{4} & +  0.52 x_{25} & + 15.78 x_{6} & +  0.25 x_{20} & -1.60 x_{26} & +  3.13 x_{9} & +  1.16 x_{18} & +  0.05 x_{31} & + 22.64 x_{12} & -0.23 x_{19} & + 29.59 x_{14} & -2.39 x_{15}\\
 x_{5}   &  0.266996013828 & +  0.02 x_{29} & -0.39 x_{8} & -0.09 x_{11} & +  0.65 x_{4} & +  0.01 x_{25} & +  0.51 x_{6} & -0.03 x_{20} & -0.01 x_{26} & +  0.10 x_{9} & -0.00 x_{18} & +  0.03 x_{31} & +  0.30 x_{12} & +  0.05 x_{19} & +  0.46 x_{14} & +  0.35 x_{15}\\
 x_{1}   &  0.024694592177 & +  0.12 x_{29} & -1.07 x_{8} & +  2.61 x_{11} & +  3.65 x_{4} & +  0.01 x_{25} & +  1.11 x_{6} & -0.03 x_{20} & -0.15 x_{26} & -0.47 x_{9} & +  0.17 x_{18} & -0.08 x_{31} & +  2.51 x_{12} & -0.01 x_{19} & +  3.12 x_{14} & +  1.30 x_{15}\\
 x_{30}   &  9.84507610387 & -0.71 x_{29} & + 25.09 x_{8} & -31.43 x_{11} & -33.57 x_{4} & +  0.06 x_{25} & -9.52 x_{6} & +  0.44 x_{20} & +  2.26 x_{26} & + 15.38 x_{9} & -1.65 x_{18} & +  2.37 x_{31} & -28.97 x_{12} & +  0.76 x_{19} & -28.72 x_{14} & -5.56 x_{15}\\
 x_{17}   &  0.0595509002299 & +  3.71 x_{29} & -26.70 x_{8} & + 94.32 x_{11} & + 122.57 x_{4} & +  1.16 x_{25} & + 29.82 x_{6} & -0.41 x_{20} & -6.04 x_{26} & -3.21 x_{9} & +  5.27 x_{18} & -1.67 x_{31} & + 96.16 x_{12} & -0.74 x_{19} & + 101.19 x_{14} & + 13.87 x_{15}\\
 x_{32}   &  0.938445114167 & +  0.64 x_{29} & -21.82 x_{8} & +  9.10 x_{11} & + 14.14 x_{4} & -0.73 x_{25} & + 28.36 x_{6} & -0.47 x_{20} & -0.86 x_{26} & -4.31 x_{9} & +  0.28 x_{18} & +  0.40 x_{31} & -5.64 x_{12} & +  0.31 x_{19} & + 11.50 x_{14} & +  1.75 x_{15}\\
 x_{33}   &  11.3794633557 & -0.77 x_{29} & + 19.44 x_{8} & -45.02 x_{11} & -41.30 x_{4} & -0.34 x_{25} & -15.78 x_{6} & +  0.45 x_{20} & +  2.83 x_{26} & + 12.52 x_{9} & -1.94 x_{18} & +  2.36 x_{31} & -39.73 x_{12} & +  0.51 x_{19} & -44.85 x_{14} & -4.82 x_{15}\\
\hline
z    &  -1.87608461551 & -0.18 x_{29} & -0.90 x_{8} & -0.97 x_{11} & -3.47 x_{4} & -0.04 x_{25} & -1.89 x_{6} & -0.05 x_{20} & -0.02 x_{26} & -4.15 x_{9} & -0.13 x_{18} & -0.22 x_{31} & -1.09 x_{12} & -0.12 x_{19} & -3.10 x_{14} & -2.53 x_{15}\\
\end{array}\]
Primal Dictionary with original objective is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.73968336952 & +  0.33 x_{29} & -0.12 x_{8} & + 21.58 x_{11} & + 15.27 x_{4} & +  0.28 x_{25} & -2.34 x_{6} & -0.32 x_{20} & -0.65 x_{26} & +  2.74 x_{9} & +  1.41 x_{18} & +  0.18 x_{31} & + 31.90 x_{12} & +  0.33 x_{19} & + 22.46 x_{14} & +  7.47 x_{15}\\
 x_{28}   &  5.51591995203 & -3.64 x_{29} & + 43.26 x_{8} & -101.62 x_{11} & -125.68 x_{4} & -1.39 x_{25} & -28.11 x_{6} & +  0.36 x_{20} & +  6.68 x_{26} & + 27.53 x_{9} & -5.79 x_{18} & +  3.34 x_{31} & -113.17 x_{12} & +  1.16 x_{19} & -111.04 x_{14} & -23.61 x_{15}\\
 x_{3}   &  0.608418142249 & -0.02 x_{29} & +  0.91 x_{8} & -2.28 x_{11} & -2.92 x_{4} & -0.03 x_{25} & -0.80 x_{6} & +  0.08 x_{20} & +  0.16 x_{26} & +  1.50 x_{9} & -0.12 x_{18} & +  0.13 x_{31} & -3.16 x_{12} & +  0.06 x_{19} & -2.04 x_{14} & +  0.11 x_{15}\\
 x_{2}   &  0.178473001639 & +  0.11 x_{29} & +  0.04 x_{8} & +  1.21 x_{11} & +  2.86 x_{4} & +  0.05 x_{25} & +  0.50 x_{6} & -0.01 x_{20} & -0.10 x_{26} & +  0.58 x_{9} & +  0.12 x_{18} & +  0.00 x_{31} & +  1.57 x_{12} & -0.05 x_{19} & +  2.16 x_{14} & -0.02 x_{15}\\
 x_{7}   &  0.463096771919 & -0.07 x_{29} & +  0.53 x_{8} & -2.83 x_{11} & -3.22 x_{4} & -0.07 x_{25} & -0.11 x_{6} & +  0.03 x_{20} & +  0.16 x_{26} & +  0.66 x_{9} & -0.13 x_{18} & +  0.14 x_{31} & -2.96 x_{12} & +  0.05 x_{19} & -2.36 x_{14} & -0.20 x_{15}\\
 x_{13}   &  0.151398534391 & +  0.12 x_{29} & -1.10 x_{8} & +  3.26 x_{11} & +  3.81 x_{4} & +  0.07 x_{25} & +  0.51 x_{6} & +  0.04 x_{20} & -0.19 x_{26} & +  0.52 x_{9} & +  0.20 x_{18} & -0.04 x_{31} & +  3.41 x_{12} & -0.02 x_{19} & +  3.07 x_{14} & +  0.05 x_{15}\\
 x_{22}   &  2.48518895033 & -0.05 x_{29} & -9.71 x_{8} & -2.83 x_{11} & -10.43 x_{4} & -0.16 x_{25} & +  6.55 x_{6} & +  0.81 x_{20} & +  0.10 x_{26} & -3.04 x_{9} & -0.63 x_{18} & +  0.99 x_{31} & -19.05 x_{12} & +  0.11 x_{19} & -10.97 x_{14} & -4.64 x_{15}\\
 x_{21}   &  4.24245060219 & +  1.04 x_{29} & +  1.17 x_{8} & +  1.97 x_{11} & + 25.74 x_{4} & +  0.93 x_{25} & -5.37 x_{6} & +  0.38 x_{20} & -0.34 x_{26} & + 25.83 x_{9} & +  0.81 x_{18} & +  0.18 x_{31} & +  3.91 x_{12} & -0.24 x_{19} & +  4.48 x_{14} & -10.68 x_{15}\\
 x_{24}   &  0.628846019334 & +  0.70 x_{29} & -10.48 x_{8} & + 32.70 x_{11} & + 18.32 x_{4} & +  0.39 x_{25} & -2.63 x_{6} & +  0.40 x_{20} & -1.69 x_{26} & -2.68 x_{9} & +  1.51 x_{18} & -0.76 x_{31} & + 36.97 x_{12} & +  0.22 x_{19} & + 14.55 x_{14} & -2.39 x_{15}\\
 x_{10}   &  0.183007559302 & -0.10 x_{29} & +  0.98 x_{8} & -1.89 x_{11} & -2.37 x_{4} & -0.00 x_{25} & -0.82 x_{6} & -0.03 x_{20} & +  0.16 x_{26} & +  0.27 x_{9} & -0.10 x_{18} & +  0.04 x_{31} & -1.59 x_{12} & +  0.04 x_{19} & -2.31 x_{14} & -0.05 x_{15}\\
 x_{23}   &  3.6209390716 & -0.21 x_{29} & -2.64 x_{8} & -12.94 x_{11} & -7.62 x_{4} & -0.28 x_{25} & -5.74 x_{6} & +  0.12 x_{20} & +  1.15 x_{26} & + 14.75 x_{9} & -0.74 x_{18} & +  0.54 x_{31} & -23.84 x_{12} & +  0.49 x_{19} & -7.23 x_{14} & +  2.13 x_{15}\\
 x_{27}   &  1.82452975431 & +  1.08 x_{29} & +  0.33 x_{8} & + 12.02 x_{11} & + 22.85 x_{4} & +  0.52 x_{25} & + 15.78 x_{6} & +  0.25 x_{20} & -1.60 x_{26} & +  3.13 x_{9} & +  1.16 x_{18} & +  0.05 x_{31} & + 22.64 x_{12} & -0.23 x_{19} & + 29.59 x_{14} & -2.39 x_{15}\\
 x_{5}   &  0.266996013828 & +  0.02 x_{29} & -0.39 x_{8} & -0.09 x_{11} & +  0.65 x_{4} & +  0.01 x_{25} & +  0.51 x_{6} & -0.03 x_{20} & -0.01 x_{26} & +  0.10 x_{9} & -0.00 x_{18} & +  0.03 x_{31} & +  0.30 x_{12} & +  0.05 x_{19} & +  0.46 x_{14} & +  0.35 x_{15}\\
 x_{1}   &  0.024694592177 & +  0.12 x_{29} & -1.07 x_{8} & +  2.61 x_{11} & +  3.65 x_{4} & +  0.01 x_{25} & +  1.11 x_{6} & -0.03 x_{20} & -0.15 x_{26} & -0.47 x_{9} & +  0.17 x_{18} & -0.08 x_{31} & +  2.51 x_{12} & -0.01 x_{19} & +  3.12 x_{14} & +  1.30 x_{15}\\
 x_{30}   &  9.84507610387 & -0.71 x_{29} & + 25.09 x_{8} & -31.43 x_{11} & -33.57 x_{4} & +  0.06 x_{25} & -9.52 x_{6} & +  0.44 x_{20} & +  2.26 x_{26} & + 15.38 x_{9} & -1.65 x_{18} & +  2.37 x_{31} & -28.97 x_{12} & +  0.76 x_{19} & -28.72 x_{14} & -5.56 x_{15}\\
 x_{17}   &  0.0595509002299 & +  3.71 x_{29} & -26.70 x_{8} & + 94.32 x_{11} & + 122.57 x_{4} & +  1.16 x_{25} & + 29.82 x_{6} & -0.41 x_{20} & -6.04 x_{26} & -3.21 x_{9} & +  5.27 x_{18} & -1.67 x_{31} & + 96.16 x_{12} & -0.74 x_{19} & + 101.19 x_{14} & + 13.87 x_{15}\\
 x_{32}   &  0.938445114167 & +  0.64 x_{29} & -21.82 x_{8} & +  9.10 x_{11} & + 14.14 x_{4} & -0.73 x_{25} & + 28.36 x_{6} & -0.47 x_{20} & -0.86 x_{26} & -4.31 x_{9} & +  0.28 x_{18} & +  0.40 x_{31} & -5.64 x_{12} & +  0.31 x_{19} & + 11.50 x_{14} & +  1.75 x_{15}\\
 x_{33}   &  11.3794633557 & -0.77 x_{29} & + 19.44 x_{8} & -45.02 x_{11} & -41.30 x_{4} & -0.34 x_{25} & -15.78 x_{6} & +  0.45 x_{20} & +  2.83 x_{26} & + 12.52 x_{9} & -1.94 x_{18} & +  2.36 x_{31} & -39.73 x_{12} & +  0.51 x_{19} & -44.85 x_{14} & -4.82 x_{15}\\
\hline
z    &  -2.00184229437 & -0.92 x_{29} & +  7.67 x_{8} & -15.42 x_{11} & -31.75 x_{4} & -0.63 x_{25} & -4.75 x_{6} & +  0.10 x_{20} & +  1.14 x_{26} & -9.08 x_{9} & -1.27 x_{18} & +  0.29 x_{31} & -25.03 x_{12} & -0.00 x_{19} & -17.85 x_{14} & -8.42 x_{15}\\
\end{array}\]
\section{Optimization Phase Simplex}
Starting Dictionary is:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.73968336952 & +  0.33 x_{29} & -0.12 x_{8} & + 21.58 x_{11} & + 15.27 x_{4} & +  0.28 x_{25} & -2.34 x_{6} & -0.32 x_{20} & -0.65 x_{26} & +  2.74 x_{9} & +  1.41 x_{18} & +  0.18 x_{31} & + 31.90 x_{12} & +  0.33 x_{19} & + 22.46 x_{14} & +  7.47 x_{15}\\
 x_{28}   &  5.51591995203 & -3.64 x_{29} & + 43.26 x_{8} & -101.62 x_{11} & -125.68 x_{4} & -1.39 x_{25} & -28.11 x_{6} & +  0.36 x_{20} & +  6.68 x_{26} & + 27.53 x_{9} & -5.79 x_{18} & +  3.34 x_{31} & -113.17 x_{12} & +  1.16 x_{19} & -111.04 x_{14} & -23.61 x_{15}\\
 x_{3}   &  0.608418142249 & -0.02 x_{29} & +  0.91 x_{8} & -2.28 x_{11} & -2.92 x_{4} & -0.03 x_{25} & -0.80 x_{6} & +  0.08 x_{20} & +  0.16 x_{26} & +  1.50 x_{9} & -0.12 x_{18} & +  0.13 x_{31} & -3.16 x_{12} & +  0.06 x_{19} & -2.04 x_{14} & +  0.11 x_{15}\\
 x_{2}   &  0.178473001639 & +  0.11 x_{29} & +  0.04 x_{8} & +  1.21 x_{11} & +  2.86 x_{4} & +  0.05 x_{25} & +  0.50 x_{6} & -0.01 x_{20} & -0.10 x_{26} & +  0.58 x_{9} & +  0.12 x_{18} & +  0.00 x_{31} & +  1.57 x_{12} & -0.05 x_{19} & +  2.16 x_{14} & -0.02 x_{15}\\
 x_{7}   &  0.463096771919 & -0.07 x_{29} & +  0.53 x_{8} & -2.83 x_{11} & -3.22 x_{4} & -0.07 x_{25} & -0.11 x_{6} & +  0.03 x_{20} & +  0.16 x_{26} & +  0.66 x_{9} & -0.13 x_{18} & +  0.14 x_{31} & -2.96 x_{12} & +  0.05 x_{19} & -2.36 x_{14} & -0.20 x_{15}\\
 x_{13}   &  0.151398534391 & +  0.12 x_{29} & -1.10 x_{8} & +  3.26 x_{11} & +  3.81 x_{4} & +  0.07 x_{25} & +  0.51 x_{6} & +  0.04 x_{20} & -0.19 x_{26} & +  0.52 x_{9} & +  0.20 x_{18} & -0.04 x_{31} & +  3.41 x_{12} & -0.02 x_{19} & +  3.07 x_{14} & +  0.05 x_{15}\\
 x_{22}   &  2.48518895033 & -0.05 x_{29} & -9.71 x_{8} & -2.83 x_{11} & -10.43 x_{4} & -0.16 x_{25} & +  6.55 x_{6} & +  0.81 x_{20} & +  0.10 x_{26} & -3.04 x_{9} & -0.63 x_{18} & +  0.99 x_{31} & -19.05 x_{12} & +  0.11 x_{19} & -10.97 x_{14} & -4.64 x_{15}\\
 x_{21}   &  4.24245060219 & +  1.04 x_{29} & +  1.17 x_{8} & +  1.97 x_{11} & + 25.74 x_{4} & +  0.93 x_{25} & -5.37 x_{6} & +  0.38 x_{20} & -0.34 x_{26} & + 25.83 x_{9} & +  0.81 x_{18} & +  0.18 x_{31} & +  3.91 x_{12} & -0.24 x_{19} & +  4.48 x_{14} & -10.68 x_{15}\\
 x_{24}   &  0.628846019334 & +  0.70 x_{29} & -10.48 x_{8} & + 32.70 x_{11} & + 18.32 x_{4} & +  0.39 x_{25} & -2.63 x_{6} & +  0.40 x_{20} & -1.69 x_{26} & -2.68 x_{9} & +  1.51 x_{18} & -0.76 x_{31} & + 36.97 x_{12} & +  0.22 x_{19} & + 14.55 x_{14} & -2.39 x_{15}\\
 x_{10}   &  0.183007559302 & -0.10 x_{29} & +  0.98 x_{8} & -1.89 x_{11} & -2.37 x_{4} & -0.00 x_{25} & -0.82 x_{6} & -0.03 x_{20} & +  0.16 x_{26} & +  0.27 x_{9} & -0.10 x_{18} & +  0.04 x_{31} & -1.59 x_{12} & +  0.04 x_{19} & -2.31 x_{14} & -0.05 x_{15}\\
 x_{23}   &  3.6209390716 & -0.21 x_{29} & -2.64 x_{8} & -12.94 x_{11} & -7.62 x_{4} & -0.28 x_{25} & -5.74 x_{6} & +  0.12 x_{20} & +  1.15 x_{26} & + 14.75 x_{9} & -0.74 x_{18} & +  0.54 x_{31} & -23.84 x_{12} & +  0.49 x_{19} & -7.23 x_{14} & +  2.13 x_{15}\\
 x_{27}   &  1.82452975431 & +  1.08 x_{29} & +  0.33 x_{8} & + 12.02 x_{11} & + 22.85 x_{4} & +  0.52 x_{25} & + 15.78 x_{6} & +  0.25 x_{20} & -1.60 x_{26} & +  3.13 x_{9} & +  1.16 x_{18} & +  0.05 x_{31} & + 22.64 x_{12} & -0.23 x_{19} & + 29.59 x_{14} & -2.39 x_{15}\\
 x_{5}   &  0.266996013828 & +  0.02 x_{29} & -0.39 x_{8} & -0.09 x_{11} & +  0.65 x_{4} & +  0.01 x_{25} & +  0.51 x_{6} & -0.03 x_{20} & -0.01 x_{26} & +  0.10 x_{9} & -0.00 x_{18} & +  0.03 x_{31} & +  0.30 x_{12} & +  0.05 x_{19} & +  0.46 x_{14} & +  0.35 x_{15}\\
 x_{1}   &  0.024694592177 & +  0.12 x_{29} & -1.07 x_{8} & +  2.61 x_{11} & +  3.65 x_{4} & +  0.01 x_{25} & +  1.11 x_{6} & -0.03 x_{20} & -0.15 x_{26} & -0.47 x_{9} & +  0.17 x_{18} & -0.08 x_{31} & +  2.51 x_{12} & -0.01 x_{19} & +  3.12 x_{14} & +  1.30 x_{15}\\
 x_{30}   &  9.84507610387 & -0.71 x_{29} & + 25.09 x_{8} & -31.43 x_{11} & -33.57 x_{4} & +  0.06 x_{25} & -9.52 x_{6} & +  0.44 x_{20} & +  2.26 x_{26} & + 15.38 x_{9} & -1.65 x_{18} & +  2.37 x_{31} & -28.97 x_{12} & +  0.76 x_{19} & -28.72 x_{14} & -5.56 x_{15}\\
 x_{17}   &  0.0595509002299 & +  3.71 x_{29} & -26.70 x_{8} & + 94.32 x_{11} & + 122.57 x_{4} & +  1.16 x_{25} & + 29.82 x_{6} & -0.41 x_{20} & -6.04 x_{26} & -3.21 x_{9} & +  5.27 x_{18} & -1.67 x_{31} & + 96.16 x_{12} & -0.74 x_{19} & + 101.19 x_{14} & + 13.87 x_{15}\\
 x_{32}   &  0.938445114167 & +  0.64 x_{29} & -21.82 x_{8} & +  9.10 x_{11} & + 14.14 x_{4} & -0.73 x_{25} & + 28.36 x_{6} & -0.47 x_{20} & -0.86 x_{26} & -4.31 x_{9} & +  0.28 x_{18} & +  0.40 x_{31} & -5.64 x_{12} & +  0.31 x_{19} & + 11.50 x_{14} & +  1.75 x_{15}\\
 x_{33}   &  11.3794633557 & -0.77 x_{29} & + 19.44 x_{8} & -45.02 x_{11} & -41.30 x_{4} & -0.34 x_{25} & -15.78 x_{6} & +  0.45 x_{20} & +  2.83 x_{26} & + 12.52 x_{9} & -1.94 x_{18} & +  2.36 x_{31} & -39.73 x_{12} & +  0.51 x_{19} & -44.85 x_{14} & -4.82 x_{15}\\
\hline
z    &  -2.00184229437 & -0.92 x_{29} & +  7.67 x_{8} & -15.42 x_{11} & -31.75 x_{4} & -0.63 x_{25} & -4.75 x_{6} & +  0.10 x_{20} & +  1.14 x_{26} & -9.08 x_{9} & -1.27 x_{18} & +  0.29 x_{31} & -25.03 x_{12} & -0.00 x_{19} & -17.85 x_{14} & -8.42 x_{15}\\
\end{array}\]


 $ x_{8} $ enters and $ x_{17} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.73941289876 & +  0.31 x_{29} & +  0.00 x_{17} & + 21.16 x_{11} & + 14.71 x_{4} & +  0.27 x_{25} & -2.48 x_{6} & -0.32 x_{20} & -0.63 x_{26} & +  2.76 x_{9} & +  1.38 x_{18} & +  0.19 x_{31} & + 31.46 x_{12} & +  0.34 x_{19} & + 22.00 x_{14} & +  7.41 x_{15}\\
 x_{28}   &  5.61241322469 & +  2.38 x_{29} & -1.62 x_{17} & + 51.21 x_{11} & + 72.92 x_{4} & +  0.50 x_{25} & + 20.21 x_{6} & -0.31 x_{20} & -3.10 x_{26} & + 22.33 x_{9} & +  2.75 x_{18} & +  0.64 x_{31} & + 42.64 x_{12} & -0.04 x_{19} & + 52.92 x_{14} & -1.13 x_{15}\\
 x_{3}   &  0.610436888111 & +  0.11 x_{29} & -0.03 x_{17} & +  0.92 x_{11} & +  1.24 x_{4} & +  0.01 x_{25} & +  0.21 x_{6} & +  0.06 x_{20} & -0.04 x_{26} & +  1.39 x_{9} & +  0.06 x_{18} & +  0.07 x_{31} & +  0.10 x_{12} & +  0.03 x_{19} & +  1.39 x_{14} & +  0.58 x_{15}\\
 x_{2}   &  0.178562945595 & +  0.12 x_{29} & -0.00 x_{17} & +  1.35 x_{11} & +  3.05 x_{4} & +  0.05 x_{25} & +  0.55 x_{6} & -0.01 x_{20} & -0.11 x_{26} & +  0.57 x_{9} & +  0.12 x_{18} & +  0.00 x_{31} & +  1.72 x_{12} & -0.05 x_{19} & +  2.32 x_{14} & +  0.00 x_{15}\\
 x_{7}   &  0.464284963438 & +  0.00 x_{29} & -0.02 x_{17} & -0.95 x_{11} & -0.78 x_{4} & -0.04 x_{25} & +  0.48 x_{6} & +  0.02 x_{20} & +  0.04 x_{26} & +  0.59 x_{9} & -0.02 x_{18} & +  0.11 x_{31} & -1.04 x_{12} & +  0.04 x_{19} & -0.34 x_{14} & +  0.07 x_{15}\\
 x_{13}   &  0.148934213274 & -0.03 x_{29} & +  0.04 x_{17} & -0.64 x_{11} & -1.26 x_{4} & +  0.02 x_{25} & -0.73 x_{6} & +  0.05 x_{20} & +  0.06 x_{26} & +  0.65 x_{9} & -0.02 x_{18} & +  0.03 x_{31} & -0.56 x_{12} & +  0.01 x_{19} & -1.11 x_{14} & -0.52 x_{15}\\
 x_{22}   &  2.46352374274 & -1.40 x_{29} & +  0.36 x_{17} & -37.14 x_{11} & -55.02 x_{4} & -0.58 x_{25} & -4.30 x_{6} & +  0.95 x_{20} & +  2.30 x_{26} & -1.87 x_{9} & -2.54 x_{18} & +  1.60 x_{31} & -54.04 x_{12} & +  0.38 x_{19} & -47.78 x_{14} & -9.68 x_{15}\\
 x_{21}   &  4.24506089989 & +  1.21 x_{29} & -0.04 x_{17} & +  6.10 x_{11} & + 31.11 x_{4} & +  0.98 x_{25} & -4.06 x_{6} & +  0.36 x_{20} & -0.61 x_{26} & + 25.69 x_{9} & +  1.04 x_{18} & +  0.11 x_{31} & +  8.12 x_{12} & -0.28 x_{19} & +  8.92 x_{14} & -10.07 x_{15}\\
 x_{24}   &  0.605458568214 & -0.75 x_{29} & +  0.39 x_{17} & -4.34 x_{11} & -29.81 x_{4} & -0.06 x_{25} & -14.35 x_{6} & +  0.56 x_{20} & +  0.68 x_{26} & -1.42 x_{9} & -0.56 x_{18} & -0.11 x_{31} & -0.80 x_{12} & +  0.52 x_{19} & -25.19 x_{14} & -7.84 x_{15}\\
 x_{10}   &  0.185196345928 & +  0.04 x_{29} & -0.04 x_{17} & +  1.57 x_{11} & +  2.14 x_{4} & +  0.04 x_{25} & +  0.27 x_{6} & -0.04 x_{20} & -0.06 x_{26} & +  0.15 x_{9} & +  0.09 x_{18} & -0.03 x_{31} & +  1.94 x_{12} & +  0.01 x_{19} & +  1.41 x_{14} & +  0.46 x_{15}\\
 x_{23}   &  3.61504732479 & -0.58 x_{29} & +  0.10 x_{17} & -22.28 x_{11} & -19.75 x_{4} & -0.39 x_{25} & -8.69 x_{6} & +  0.17 x_{20} & +  1.75 x_{26} & + 15.06 x_{9} & -1.27 x_{18} & +  0.70 x_{31} & -33.36 x_{12} & +  0.57 x_{19} & -17.24 x_{14} & +  0.76 x_{15}\\
 x_{27}   &  1.82525815355 & +  1.12 x_{29} & -0.01 x_{17} & + 13.17 x_{11} & + 24.35 x_{4} & +  0.53 x_{25} & + 16.15 x_{6} & +  0.25 x_{20} & -1.67 x_{26} & +  3.10 x_{9} & +  1.23 x_{18} & +  0.03 x_{31} & + 23.82 x_{12} & -0.24 x_{19} & + 30.83 x_{14} & -2.22 x_{15}\\
 x_{5}   &  0.266125968574 & -0.03 x_{29} & +  0.01 x_{17} & -1.47 x_{11} & -1.14 x_{4} & -0.01 x_{25} & +  0.07 x_{6} & -0.02 x_{20} & +  0.07 x_{26} & +  0.15 x_{9} & -0.08 x_{18} & +  0.06 x_{31} & -1.10 x_{12} & +  0.06 x_{19} & -1.02 x_{14} & +  0.15 x_{15}\\
 x_{1}   &  0.0223180357801 & -0.03 x_{29} & +  0.04 x_{17} & -1.16 x_{11} & -1.25 x_{4} & -0.04 x_{25} & -0.08 x_{6} & -0.01 x_{20} & +  0.09 x_{26} & -0.34 x_{9} & -0.04 x_{18} & -0.01 x_{31} & -1.33 x_{12} & +  0.02 x_{19} & -0.92 x_{14} & +  0.74 x_{15}\\
 x_{30}   &  9.90104938204 & +  2.78 x_{29} & -0.94 x_{17} & + 57.22 x_{11} & + 81.63 x_{4} & +  1.16 x_{25} & + 18.51 x_{6} & +  0.06 x_{20} & -3.41 x_{26} & + 12.36 x_{9} & +  3.30 x_{18} & +  0.80 x_{31} & + 61.41 x_{12} & +  0.06 x_{19} & + 66.40 x_{14} & +  7.48 x_{15}\\
 x_{8}   &  0.00223060222235 & +  0.14 x_{29} & -0.04 x_{17} & +  3.53 x_{11} & +  4.59 x_{4} & +  0.04 x_{25} & +  1.12 x_{6} & -0.02 x_{20} & -0.23 x_{26} & -0.12 x_{9} & +  0.20 x_{18} & -0.06 x_{31} & +  3.60 x_{12} & -0.03 x_{19} & +  3.79 x_{14} & +  0.52 x_{15}\\
 x_{32}   &  0.889778003318 & -2.39 x_{29} & +  0.82 x_{17} & -67.98 x_{11} & -86.02 x_{4} & -1.68 x_{25} & +  3.99 x_{6} & -0.13 x_{20} & +  4.08 x_{26} & -1.68 x_{9} & -4.03 x_{18} & +  1.76 x_{31} & -84.22 x_{12} & +  0.91 x_{19} & -71.20 x_{14} & -9.58 x_{15}\\
 x_{33}   &  11.422834721 & +  1.93 x_{29} & -0.73 x_{17} & + 23.68 x_{11} & + 47.96 x_{4} & +  0.51 x_{25} & +  5.94 x_{6} & +  0.15 x_{20} & -1.57 x_{26} & + 10.18 x_{9} & +  1.89 x_{18} & +  1.14 x_{31} & + 30.30 x_{12} & -0.03 x_{19} & + 28.85 x_{14} & +  5.29 x_{15}\\
\hline
z    &  -1.98472682887 & +  0.14 x_{29} & -0.29 x_{17} & + 11.69 x_{11} & +  3.48 x_{4} & -0.30 x_{25} & +  3.82 x_{6} & -0.02 x_{20} & -0.60 x_{26} & -10.00 x_{9} & +  0.25 x_{18} & -0.19 x_{31} & +  2.61 x_{12} & -0.21 x_{19} & + 11.24 x_{14} & -4.43 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{32} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.89158366958 & -0.10 x_{29} & +  0.14 x_{17} & +  9.53 x_{11} & -0.17 x_{32} & -0.02 x_{25} & -1.80 x_{6} & -0.34 x_{20} & +  0.07 x_{26} & +  2.47 x_{9} & +  0.69 x_{18} & +  0.49 x_{31} & + 17.06 x_{12} & +  0.49 x_{19} & +  9.82 x_{14} & +  5.77 x_{15}\\
 x_{28}   &  6.36669709217 & +  0.35 x_{29} & -0.93 x_{17} & -6.42 x_{11} & -0.85 x_{32} & -0.93 x_{25} & + 23.59 x_{6} & -0.42 x_{20} & +  0.35 x_{26} & + 20.90 x_{9} & -0.67 x_{18} & +  2.14 x_{31} & -28.75 x_{12} & +  0.73 x_{19} & -7.44 x_{14} & -9.26 x_{15}\\
 x_{3}   &  0.62324247782 & +  0.07 x_{29} & -0.02 x_{17} & -0.06 x_{11} & -0.01 x_{32} & -0.02 x_{25} & +  0.27 x_{6} & +  0.06 x_{20} & +  0.02 x_{26} & +  1.37 x_{9} & +  0.00 x_{18} & +  0.10 x_{31} & -1.11 x_{12} & +  0.04 x_{19} & +  0.36 x_{14} & +  0.44 x_{15}\\
 x_{2}   &  0.210098793405 & +  0.03 x_{29} & +  0.03 x_{17} & -1.06 x_{11} & -0.04 x_{32} & -0.01 x_{25} & +  0.69 x_{6} & -0.01 x_{20} & +  0.03 x_{26} & +  0.51 x_{9} & -0.02 x_{18} & +  0.06 x_{31} & -1.26 x_{12} & -0.01 x_{19} & -0.21 x_{14} & -0.34 x_{15}\\
 x_{7}   &  0.456258016538 & +  0.02 x_{29} & -0.03 x_{17} & -0.34 x_{11} & +  0.01 x_{32} & -0.03 x_{25} & +  0.44 x_{6} & +  0.02 x_{20} & +  0.00 x_{26} & +  0.61 x_{9} & +  0.01 x_{18} & +  0.09 x_{31} & -0.28 x_{12} & +  0.03 x_{19} & +  0.30 x_{14} & +  0.16 x_{15}\\
 x_{13}   &  0.135884687398 & +  0.00 x_{29} & +  0.03 x_{17} & +  0.35 x_{11} & +  0.01 x_{32} & +  0.05 x_{25} & -0.78 x_{6} & +  0.06 x_{20} & -0.00 x_{26} & +  0.68 x_{9} & +  0.04 x_{18} & +  0.00 x_{31} & +  0.67 x_{12} & -0.00 x_{19} & -0.07 x_{14} & -0.38 x_{15}\\
 x_{22}   &  1.89438459159 & +  0.13 x_{29} & -0.16 x_{17} & +  6.34 x_{11} & +  0.64 x_{32} & +  0.49 x_{25} & -6.85 x_{6} & +  1.04 x_{20} & -0.31 x_{26} & -0.79 x_{9} & +  0.03 x_{18} & +  0.47 x_{31} & -0.16 x_{12} & -0.20 x_{19} & -2.24 x_{14} & -3.55 x_{15}\\
 x_{21}   &  4.56690326096 & +  0.34 x_{29} & +  0.25 x_{17} & -18.48 x_{11} & -0.36 x_{32} & +  0.38 x_{25} & -2.62 x_{6} & +  0.31 x_{20} & +  0.87 x_{26} & + 25.08 x_{9} & -0.42 x_{18} & +  0.75 x_{31} & -22.34 x_{12} & +  0.05 x_{19} & -16.84 x_{14} & -13.53 x_{15}\\
 x_{24}   &  0.297099100338 & +  0.07 x_{29} & +  0.11 x_{17} & + 19.22 x_{11} & +  0.35 x_{32} & +  0.52 x_{25} & -15.73 x_{6} & +  0.61 x_{20} & -0.73 x_{26} & -0.84 x_{9} & +  0.83 x_{18} & -0.72 x_{31} & + 28.39 x_{12} & +  0.20 x_{19} & -0.52 x_{14} & -4.51 x_{15}\\
 x_{10}   &  0.207329992496 & -0.02 x_{29} & -0.02 x_{17} & -0.12 x_{11} & -0.02 x_{32} & -0.00 x_{25} & +  0.37 x_{6} & -0.05 x_{20} & +  0.04 x_{26} & +  0.11 x_{9} & -0.01 x_{18} & +  0.02 x_{31} & -0.16 x_{12} & +  0.03 x_{19} & -0.36 x_{14} & +  0.22 x_{15}\\
 x_{23}   &  3.4107712792 & -0.03 x_{29} & -0.09 x_{17} & -6.67 x_{11} & +  0.23 x_{32} & -0.01 x_{25} & -9.61 x_{6} & +  0.20 x_{20} & +  0.81 x_{26} & + 15.45 x_{9} & -0.34 x_{18} & +  0.30 x_{31} & -14.02 x_{12} & +  0.36 x_{19} & -0.89 x_{14} & +  2.96 x_{15}\\
 x_{27}   &  2.07710164256 & +  0.45 x_{29} & +  0.22 x_{17} & -6.07 x_{11} & -0.28 x_{32} & +  0.06 x_{25} & + 17.28 x_{6} & +  0.21 x_{20} & -0.52 x_{26} & +  2.62 x_{9} & +  0.08 x_{18} & +  0.53 x_{31} & -0.02 x_{12} & +  0.02 x_{19} & + 10.68 x_{14} & -4.93 x_{15}\\
 x_{5}   &  0.25437404612 & -0.00 x_{29} & +  0.00 x_{17} & -0.57 x_{11} & +  0.01 x_{32} & +  0.01 x_{25} & +  0.02 x_{6} & -0.02 x_{20} & +  0.02 x_{26} & +  0.17 x_{9} & -0.02 x_{18} & +  0.04 x_{31} & +  0.01 x_{12} & +  0.05 x_{19} & -0.08 x_{14} & +  0.27 x_{15}\\
 x_{1}   &  0.00943285339044 & +  0.01 x_{29} & +  0.03 x_{17} & -0.17 x_{11} & +  0.01 x_{32} & -0.01 x_{25} & -0.14 x_{6} & -0.01 x_{20} & +  0.03 x_{26} & -0.32 x_{9} & +  0.02 x_{18} & -0.03 x_{31} & -0.11 x_{12} & +  0.01 x_{19} & +  0.11 x_{14} & +  0.88 x_{15}\\
 x_{30}   &  10.7454364154 & +  0.51 x_{29} & -0.16 x_{17} & -7.29 x_{11} & -0.95 x_{32} & -0.44 x_{25} & + 22.30 x_{6} & -0.07 x_{20} & +  0.46 x_{26} & + 10.77 x_{9} & -0.52 x_{18} & +  2.47 x_{31} & -18.52 x_{12} & +  0.92 x_{19} & -1.17 x_{14} & -1.61 x_{15}\\
 x_{8}   &  0.0497183606467 & +  0.01 x_{29} & +  0.01 x_{17} & -0.10 x_{11} & -0.05 x_{32} & -0.05 x_{25} & +  1.33 x_{6} & -0.02 x_{20} & -0.01 x_{26} & -0.21 x_{9} & -0.02 x_{18} & +  0.03 x_{31} & -0.89 x_{12} & +  0.02 x_{19} & -0.01 x_{14} & +  0.01 x_{15}\\
 x_{4}   &  0.0103437827799 & -0.03 x_{29} & +  0.01 x_{17} & -0.79 x_{11} & -0.01 x_{32} & -0.02 x_{25} & +  0.05 x_{6} & -0.00 x_{20} & +  0.05 x_{26} & -0.02 x_{9} & -0.05 x_{18} & +  0.02 x_{31} & -0.98 x_{12} & +  0.01 x_{19} & -0.83 x_{14} & -0.11 x_{15}\\
 x_{33}   &  11.9189412972 & +  0.60 x_{29} & -0.27 x_{17} & -14.22 x_{11} & -0.56 x_{32} & -0.43 x_{25} & +  8.17 x_{6} & +  0.07 x_{20} & +  0.71 x_{26} & +  9.25 x_{9} & -0.35 x_{18} & +  2.13 x_{31} & -16.66 x_{12} & +  0.48 x_{19} & -10.85 x_{14} & -0.06 x_{15}\\
\hline
z    &  -1.94875505699 & +  0.05 x_{29} & -0.25 x_{17} & +  8.94 x_{11} & -0.04 x_{32} & -0.36 x_{25} & +  3.98 x_{6} & -0.02 x_{20} & -0.43 x_{26} & -10.07 x_{9} & +  0.08 x_{18} & -0.12 x_{31} & -0.80 x_{12} & -0.18 x_{19} & +  8.36 x_{14} & -4.82 x_{15}\\
\end{array}\]


 $ x_{6} $ enters and $ x_{24} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.85765158536 & -0.11 x_{29} & +  0.13 x_{17} & +  7.34 x_{11} & -0.21 x_{32} & -0.08 x_{25} & +  0.11 x_{24} & -0.41 x_{20} & +  0.16 x_{26} & +  2.57 x_{9} & +  0.60 x_{18} & +  0.57 x_{31} & + 13.82 x_{12} & +  0.47 x_{19} & +  9.88 x_{14} & +  6.28 x_{15}\\
 x_{28}   &  6.81236066003 & +  0.46 x_{29} & -0.76 x_{17} & + 22.41 x_{11} & -0.33 x_{32} & -0.15 x_{25} & -1.50 x_{24} & +  0.49 x_{20} & -0.75 x_{26} & + 19.64 x_{9} & +  0.58 x_{18} & +  1.06 x_{31} & + 13.83 x_{12} & +  1.03 x_{19} & -8.21 x_{14} & -16.03 x_{15}\\
 x_{3}   &  0.628303155769 & +  0.07 x_{29} & -0.02 x_{17} & +  0.26 x_{11} & -0.01 x_{32} & -0.01 x_{25} & -0.02 x_{24} & +  0.07 x_{20} & +  0.01 x_{26} & +  1.35 x_{9} & +  0.02 x_{18} & +  0.08 x_{31} & -0.63 x_{12} & +  0.05 x_{19} & +  0.35 x_{14} & +  0.36 x_{15}\\
 x_{2}   &  0.223119445132 & +  0.04 x_{29} & +  0.03 x_{17} & -0.22 x_{11} & -0.02 x_{32} & +  0.01 x_{25} & -0.04 x_{24} & +  0.01 x_{20} & -0.00 x_{26} & +  0.48 x_{9} & +  0.02 x_{18} & +  0.03 x_{31} & -0.02 x_{12} & -0.01 x_{19} & -0.23 x_{14} & -0.53 x_{15}\\
 x_{7}   &  0.464645349585 & +  0.02 x_{29} & -0.02 x_{17} & +  0.21 x_{11} & +  0.02 x_{32} & -0.01 x_{25} & -0.03 x_{24} & +  0.04 x_{20} & -0.02 x_{26} & +  0.59 x_{9} & +  0.04 x_{18} & +  0.07 x_{31} & +  0.52 x_{12} & +  0.03 x_{19} & +  0.29 x_{14} & +  0.03 x_{15}\\
 x_{13}   &  0.121080260106 & -0.00 x_{29} & +  0.02 x_{17} & -0.60 x_{11} & -0.00 x_{32} & +  0.02 x_{25} & +  0.05 x_{24} & +  0.03 x_{20} & +  0.03 x_{26} & +  0.72 x_{9} & -0.00 x_{18} & +  0.04 x_{31} & -0.74 x_{12} & -0.01 x_{19} & -0.04 x_{14} & -0.16 x_{15}\\
 x_{22}   &  1.76496415872 & +  0.09 x_{29} & -0.21 x_{17} & -2.03 x_{11} & +  0.49 x_{32} & +  0.27 x_{25} & +  0.44 x_{24} & +  0.78 x_{20} & +  0.01 x_{26} & -0.43 x_{9} & -0.33 x_{18} & +  0.78 x_{31} & -12.53 x_{12} & -0.29 x_{19} & -2.01 x_{14} & -1.59 x_{15}\\
 x_{21}   &  4.51738881485 & +  0.33 x_{29} & +  0.23 x_{17} & -21.69 x_{11} & -0.42 x_{32} & +  0.29 x_{25} & +  0.17 x_{24} & +  0.21 x_{20} & +  0.99 x_{26} & + 25.22 x_{9} & -0.55 x_{18} & +  0.87 x_{31} & -27.07 x_{12} & +  0.02 x_{19} & -16.75 x_{14} & -12.78 x_{15}\\
 x_{6}   &  0.0188891202176 & +  0.00 x_{29} & +  0.01 x_{17} & +  1.22 x_{11} & +  0.02 x_{32} & +  0.03 x_{25} & -0.06 x_{24} & +  0.04 x_{20} & -0.05 x_{26} & -0.05 x_{9} & +  0.05 x_{18} & -0.05 x_{31} & +  1.80 x_{12} & +  0.01 x_{19} & -0.03 x_{14} & -0.29 x_{15}\\
 x_{10}   &  0.214346476136 & -0.02 x_{29} & -0.01 x_{17} & +  0.33 x_{11} & -0.02 x_{32} & +  0.01 x_{25} & -0.02 x_{24} & -0.03 x_{20} & +  0.02 x_{26} & +  0.09 x_{9} & +  0.01 x_{18} & +  0.00 x_{31} & +  0.51 x_{12} & +  0.04 x_{19} & -0.38 x_{14} & +  0.11 x_{15}\\
 x_{23}   &  3.22929909403 & -0.07 x_{29} & -0.16 x_{17} & -18.41 x_{11} & +  0.02 x_{32} & -0.32 x_{25} & +  0.61 x_{24} & -0.17 x_{20} & +  1.26 x_{26} & + 15.96 x_{9} & -0.85 x_{18} & +  0.74 x_{31} & -31.36 x_{12} & +  0.24 x_{19} & -0.58 x_{14} & +  5.72 x_{15}\\
 x_{27}   &  2.40345265202 & +  0.53 x_{29} & +  0.34 x_{17} & + 15.04 x_{11} & +  0.10 x_{32} & +  0.63 x_{25} & -1.10 x_{24} & +  0.87 x_{20} & -1.32 x_{26} & +  1.70 x_{9} & +  1.00 x_{18} & -0.26 x_{31} & + 31.17 x_{12} & +  0.23 x_{19} & + 10.11 x_{14} & -9.89 x_{15}\\
 x_{5}   &  0.254718164383 & -0.00 x_{29} & +  0.00 x_{17} & -0.55 x_{11} & +  0.01 x_{32} & +  0.01 x_{25} & -0.00 x_{24} & -0.02 x_{20} & +  0.02 x_{26} & +  0.17 x_{9} & -0.02 x_{18} & +  0.04 x_{31} & +  0.04 x_{12} & +  0.05 x_{19} & -0.08 x_{14} & +  0.27 x_{15}\\
 x_{1}   &  0.00679088565396 & +  0.00 x_{29} & +  0.03 x_{17} & -0.34 x_{11} & +  0.01 x_{32} & -0.02 x_{25} & +  0.01 x_{24} & -0.02 x_{20} & +  0.03 x_{26} & -0.31 x_{9} & +  0.01 x_{18} & -0.03 x_{31} & -0.36 x_{12} & +  0.00 x_{19} & +  0.11 x_{14} & +  0.92 x_{15}\\
 x_{30}   &  11.1666389758 & +  0.61 x_{29} & -0.01 x_{17} & + 19.95 x_{11} & -0.46 x_{32} & +  0.30 x_{25} & -1.42 x_{24} & +  0.79 x_{20} & -0.59 x_{26} & +  9.58 x_{9} & +  0.66 x_{18} & +  1.46 x_{31} & + 21.73 x_{12} & +  1.21 x_{19} & -1.91 x_{14} & -8.01 x_{15}\\
 x_{8}   &  0.0748396578625 & +  0.02 x_{29} & +  0.02 x_{17} & +  1.53 x_{11} & -0.02 x_{32} & -0.00 x_{25} & -0.08 x_{24} & +  0.03 x_{20} & -0.07 x_{26} & -0.28 x_{9} & +  0.05 x_{18} & -0.03 x_{31} & +  1.51 x_{12} & +  0.04 x_{19} & -0.05 x_{14} & -0.37 x_{15}\\
 x_{4}   &  0.0112199824744 & -0.03 x_{29} & +  0.01 x_{17} & -0.73 x_{11} & -0.01 x_{32} & -0.02 x_{25} & -0.00 x_{24} & +  0.00 x_{20} & +  0.05 x_{26} & -0.02 x_{9} & -0.04 x_{18} & +  0.02 x_{31} & -0.90 x_{12} & +  0.01 x_{19} & -0.83 x_{14} & -0.12 x_{15}\\
 x_{33}   &  12.0731936492 & +  0.64 x_{29} & -0.22 x_{17} & -4.25 x_{11} & -0.38 x_{32} & -0.16 x_{25} & -0.52 x_{24} & +  0.39 x_{20} & +  0.32 x_{26} & +  8.81 x_{9} & +  0.08 x_{18} & +  1.75 x_{31} & -1.92 x_{12} & +  0.58 x_{19} & -11.12 x_{14} & -2.40 x_{15}\\
\hline
z    &  -1.873559566 & +  0.06 x_{29} & -0.23 x_{17} & + 13.80 x_{11} & +  0.05 x_{32} & -0.23 x_{25} & -0.25 x_{24} & +  0.13 x_{20} & -0.62 x_{26} & -10.28 x_{9} & +  0.30 x_{18} & -0.30 x_{31} & +  6.39 x_{12} & -0.13 x_{19} & +  8.23 x_{14} & -5.96 x_{15}\\
\end{array}\]


 $ x_{11} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  4.96985024824 & -0.38 x_{29} & +  0.23 x_{17} & -10.00 x_{4} & -0.32 x_{32} & -0.26 x_{25} & +  0.08 x_{24} & -0.41 x_{20} & +  0.61 x_{26} & +  2.35 x_{9} & +  0.16 x_{18} & +  0.76 x_{31} & +  4.87 x_{12} & +  0.58 x_{19} & +  1.59 x_{14} & +  5.04 x_{15}\\
 x_{28}   &  7.15513018795 & -0.38 x_{29} & -0.46 x_{17} & -30.55 x_{4} & -0.65 x_{32} & -0.70 x_{25} & -1.59 x_{24} & +  0.50 x_{20} & +  0.63 x_{26} & + 18.97 x_{9} & -0.77 x_{18} & +  1.62 x_{31} & -13.52 x_{12} & +  1.37 x_{19} & -33.54 x_{14} & -19.84 x_{15}\\
 x_{3}   &  0.632345666294 & +  0.06 x_{29} & -0.02 x_{17} & -0.36 x_{4} & -0.01 x_{32} & -0.01 x_{25} & -0.02 x_{24} & +  0.07 x_{20} & +  0.02 x_{26} & +  1.34 x_{9} & -0.00 x_{18} & +  0.09 x_{31} & -0.95 x_{12} & +  0.05 x_{19} & +  0.05 x_{14} & +  0.32 x_{15}\\
 x_{2}   &  0.219824732213 & +  0.04 x_{29} & +  0.03 x_{17} & +  0.29 x_{4} & -0.02 x_{32} & +  0.02 x_{25} & -0.04 x_{24} & +  0.01 x_{20} & -0.01 x_{26} & +  0.48 x_{9} & +  0.03 x_{18} & +  0.03 x_{31} & +  0.24 x_{12} & -0.01 x_{19} & +  0.01 x_{14} & -0.50 x_{15}\\
 x_{7}   &  0.46781077463 & +  0.02 x_{29} & -0.02 x_{17} & -0.28 x_{4} & +  0.02 x_{32} & -0.02 x_{25} & -0.03 x_{24} & +  0.04 x_{20} & -0.00 x_{26} & +  0.58 x_{9} & +  0.02 x_{18} & +  0.08 x_{31} & +  0.27 x_{12} & +  0.04 x_{19} & +  0.05 x_{14} & -0.00 x_{15}\\
 x_{13}   &  0.111849224502 & +  0.02 x_{29} & +  0.02 x_{17} & +  0.82 x_{4} & +  0.01 x_{32} & +  0.04 x_{25} & +  0.05 x_{24} & +  0.02 x_{20} & -0.00 x_{26} & +  0.74 x_{9} & +  0.04 x_{18} & +  0.02 x_{31} & -0.01 x_{12} & -0.02 x_{19} & +  0.64 x_{14} & -0.05 x_{15}\\
 x_{22}   &  1.73387146842 & +  0.17 x_{29} & -0.23 x_{17} & +  2.77 x_{4} & +  0.52 x_{32} & +  0.32 x_{25} & +  0.44 x_{24} & +  0.78 x_{20} & -0.11 x_{26} & -0.37 x_{9} & -0.21 x_{18} & +  0.73 x_{31} & -10.05 x_{12} & -0.32 x_{19} & +  0.29 x_{14} & -1.24 x_{15}\\
 x_{21}   &  4.18569280292 & +  1.14 x_{29} & -0.06 x_{17} & + 29.56 x_{4} & -0.11 x_{32} & +  0.82 x_{25} & +  0.25 x_{24} & +  0.20 x_{20} & -0.35 x_{26} & + 25.87 x_{9} & +  0.76 x_{18} & +  0.32 x_{31} & -0.60 x_{12} & -0.31 x_{19} & +  7.76 x_{14} & -9.10 x_{15}\\
 x_{6}   &  0.0375765371159 & -0.04 x_{29} & +  0.02 x_{17} & -1.67 x_{4} & +  0.00 x_{32} & +  0.00 x_{25} & -0.07 x_{24} & +  0.04 x_{20} & +  0.03 x_{26} & -0.09 x_{9} & -0.02 x_{18} & -0.01 x_{31} & +  0.31 x_{12} & +  0.03 x_{19} & -1.41 x_{14} & -0.49 x_{15}\\
 x_{10}   &  0.21947027268 & -0.04 x_{29} & -0.01 x_{17} & -0.46 x_{4} & -0.02 x_{32} & +  0.00 x_{25} & -0.02 x_{24} & -0.03 x_{20} & +  0.04 x_{26} & +  0.08 x_{9} & -0.01 x_{18} & +  0.01 x_{31} & +  0.11 x_{12} & +  0.04 x_{19} & -0.75 x_{14} & +  0.06 x_{15}\\
 x_{23}   &  2.94775245678 & +  0.62 x_{29} & -0.40 x_{17} & + 25.09 x_{4} & +  0.28 x_{32} & +  0.13 x_{25} & +  0.68 x_{24} & -0.18 x_{20} & +  0.13 x_{26} & + 16.51 x_{9} & +  0.26 x_{18} & +  0.27 x_{31} & -8.89 x_{12} & -0.05 x_{19} & + 20.23 x_{14} & +  8.85 x_{15}\\
 x_{27}   &  2.63354529046 & -0.04 x_{29} & +  0.54 x_{17} & -20.51 x_{4} & -0.12 x_{32} & +  0.26 x_{25} & -1.16 x_{24} & +  0.88 x_{20} & -0.40 x_{26} & +  1.25 x_{9} & +  0.09 x_{18} & +  0.12 x_{31} & + 12.81 x_{12} & +  0.46 x_{19} & -6.90 x_{14} & -12.45 x_{15}\\
 x_{5}   &  0.246263987449 & +  0.02 x_{29} & -0.00 x_{17} & +  0.75 x_{4} & +  0.02 x_{32} & +  0.03 x_{25} & +  0.00 x_{24} & -0.02 x_{20} & -0.01 x_{26} & +  0.19 x_{9} & +  0.01 x_{18} & +  0.02 x_{31} & +  0.71 x_{12} & +  0.04 x_{19} & +  0.55 x_{14} & +  0.36 x_{15}\\
 x_{1}   &  0.00152517624653 & +  0.02 x_{29} & +  0.02 x_{17} & +  0.47 x_{4} & +  0.02 x_{32} & -0.01 x_{25} & +  0.01 x_{24} & -0.02 x_{20} & +  0.01 x_{26} & -0.30 x_{9} & +  0.03 x_{18} & -0.04 x_{31} & +  0.06 x_{12} & -0.00 x_{19} & +  0.50 x_{14} & +  0.98 x_{15}\\
 x_{30}   &  11.4718169977 & -0.14 x_{29} & +  0.26 x_{17} & -27.20 x_{4} & -0.75 x_{32} & -0.19 x_{25} & -1.50 x_{24} & +  0.80 x_{20} & +  0.64 x_{26} & +  8.98 x_{9} & -0.55 x_{18} & +  1.96 x_{31} & -2.62 x_{12} & +  1.51 x_{19} & -24.46 x_{14} & -11.41 x_{15}\\
 x_{8}   &  0.0982381563085 & -0.04 x_{29} & +  0.04 x_{17} & -2.09 x_{4} & -0.05 x_{32} & -0.04 x_{25} & -0.09 x_{24} & +  0.03 x_{20} & +  0.02 x_{26} & -0.33 x_{9} & -0.04 x_{18} & +  0.01 x_{31} & -0.36 x_{12} & +  0.06 x_{19} & -1.78 x_{14} & -0.63 x_{15}\\
 x_{11}   &  0.0152952290914 & -0.04 x_{29} & +  0.01 x_{17} & -1.36 x_{4} & -0.01 x_{32} & -0.02 x_{25} & -0.00 x_{24} & +  0.00 x_{20} & +  0.06 x_{26} & -0.03 x_{9} & -0.06 x_{18} & +  0.03 x_{31} & -1.22 x_{12} & +  0.02 x_{19} & -1.13 x_{14} & -0.17 x_{15}\\
 x_{33}   &  12.0082266364 & +  0.80 x_{29} & -0.27 x_{17} & +  5.79 x_{4} & -0.32 x_{32} & -0.06 x_{25} & -0.50 x_{24} & +  0.39 x_{20} & +  0.06 x_{26} & +  8.94 x_{9} & +  0.34 x_{18} & +  1.65 x_{31} & +  3.27 x_{12} & +  0.52 x_{19} & -6.32 x_{14} & -1.68 x_{15}\\
\hline
z    &  -1.66245753296 & -0.45 x_{29} & -0.04 x_{17} & -18.81 x_{4} & -0.15 x_{32} & -0.57 x_{25} & -0.31 x_{24} & +  0.14 x_{20} & +  0.23 x_{26} & -10.70 x_{9} & -0.54 x_{18} & +  0.05 x_{31} & -10.46 x_{12} & +  0.08 x_{19} & -7.37 x_{14} & -8.31 x_{15}\\
\end{array}\]


 $ x_{19} $ enters and $ x_{1} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  5.64330352231 & +  7.43 x_{29} & + 10.16 x_{17} & + 197.23 x_{4} & +  6.91 x_{32} & -4.31 x_{25} & +  4.62 x_{24} & -8.60 x_{20} & +  6.05 x_{26} & -131.00 x_{9} & + 12.77 x_{18} & -15.53 x_{31} & + 30.56 x_{12} & -441.56 x_{1} & + 223.30 x_{14} & + 437.85 x_{15}\\
 x_{28}   &  8.7456736451 & + 18.07 x_{29} & + 22.99 x_{17} & + 458.88 x_{4} & + 16.43 x_{32} & -10.28 x_{25} & +  9.13 x_{24} & -18.85 x_{20} & + 13.48 x_{26} & -295.96 x_{9} & + 29.03 x_{18} & -36.84 x_{31} & + 47.17 x_{12} & -1042.86 x_{1} & + 490.08 x_{14} & + 1002.38 x_{15}\\
 x_{3}   &  0.691773994369 & +  0.75 x_{29} & +  0.86 x_{17} & + 17.93 x_{4} & +  0.63 x_{32} & -0.37 x_{25} & +  0.38 x_{24} & -0.65 x_{20} & +  0.50 x_{26} & -10.42 x_{9} & +  1.11 x_{18} & -1.35 x_{31} & +  1.32 x_{12} & -38.96 x_{1} & + 19.62 x_{14} & + 38.51 x_{15}\\
 x_{2}   &  0.209395119714 & -0.08 x_{29} & -0.12 x_{17} & -2.92 x_{4} & -0.13 x_{32} & +  0.08 x_{25} & -0.11 x_{24} & +  0.14 x_{20} & -0.10 x_{26} & +  2.55 x_{9} & -0.16 x_{18} & +  0.28 x_{31} & -0.16 x_{12} & +  6.84 x_{1} & -3.42 x_{14} & -7.20 x_{15}\\
 x_{7}   &  0.508957040411 & +  0.49 x_{29} & +  0.59 x_{17} & + 12.38 x_{4} & +  0.46 x_{32} & -0.27 x_{25} & +  0.25 x_{24} & -0.46 x_{20} & +  0.33 x_{26} & -7.57 x_{9} & +  0.80 x_{18} & -0.92 x_{31} & +  1.84 x_{12} & -26.98 x_{1} & + 13.60 x_{14} & + 26.44 x_{15}\\
 x_{13}   &  0.087201465937 & -0.26 x_{29} & -0.35 x_{17} & -6.76 x_{4} & -0.26 x_{32} & +  0.19 x_{25} & -0.11 x_{24} & +  0.32 x_{20} & -0.20 x_{26} & +  5.62 x_{9} & -0.43 x_{18} & +  0.62 x_{31} & -0.95 x_{12} & + 16.16 x_{1} & -7.48 x_{14} & -15.89 x_{15}\\
 x_{22}   &  1.36720921781 & -4.08 x_{29} & -5.64 x_{17} & -110.06 x_{4} & -3.42 x_{32} & +  2.53 x_{25} & -2.03 x_{24} & +  5.23 x_{20} & -3.07 x_{26} & + 72.23 x_{9} & -7.08 x_{18} & +  9.60 x_{31} & -24.04 x_{12} & + 240.41 x_{1} & -120.42 x_{14} & -236.89 x_{15}\\
 x_{21}   &  3.82538222895 & -3.04 x_{29} & -5.37 x_{17} & -81.31 x_{4} & -3.97 x_{32} & +  2.99 x_{25} & -2.17 x_{24} & +  4.58 x_{20} & -3.26 x_{26} & + 97.21 x_{9} & -5.99 x_{18} & +  9.04 x_{31} & -14.35 x_{12} & + 236.24 x_{1} & -110.85 x_{14} & -240.66 x_{15}\\
 x_{6}   &  0.0737967487768 & +  0.38 x_{29} & +  0.56 x_{17} & +  9.48 x_{4} & +  0.39 x_{32} & -0.22 x_{25} & +  0.18 x_{24} & -0.40 x_{20} & +  0.32 x_{26} & -7.26 x_{9} & +  0.66 x_{18} & -0.89 x_{31} & +  1.70 x_{12} & -23.75 x_{1} & + 10.51 x_{14} & + 22.78 x_{15}\\
 x_{10}   &  0.269333158789 & +  0.54 x_{29} & +  0.73 x_{17} & + 14.89 x_{4} & +  0.51 x_{32} & -0.30 x_{25} & +  0.31 x_{24} & -0.64 x_{20} & +  0.44 x_{26} & -9.79 x_{9} & +  0.92 x_{18} & -1.20 x_{31} & +  2.01 x_{12} & -32.69 x_{1} & + 15.66 x_{14} & + 32.10 x_{15}\\
 x_{23}   &  2.89483675072 & +  0.01 x_{29} & -1.18 x_{17} & +  8.81 x_{4} & -0.28 x_{32} & +  0.45 x_{25} & +  0.33 x_{24} & +  0.46 x_{20} & -0.30 x_{26} & + 26.99 x_{9} & -0.73 x_{18} & +  1.55 x_{31} & -10.91 x_{12} & + 34.69 x_{1} & +  2.81 x_{14} & -25.16 x_{15}\\
 x_{27}   &  3.1708780473 & +  6.19 x_{29} & +  8.46 x_{17} & + 144.84 x_{4} & +  5.65 x_{32} & -2.98 x_{25} & +  2.46 x_{24} & -5.65 x_{20} & +  3.94 x_{26} & -105.14 x_{9} & + 10.16 x_{18} & -12.87 x_{31} & + 33.31 x_{12} & -352.31 x_{1} & + 170.00 x_{14} & + 332.89 x_{15}\\
 x_{5}   &  0.294910130984 & +  0.58 x_{29} & +  0.71 x_{17} & + 15.72 x_{4} & +  0.54 x_{32} & -0.27 x_{25} & +  0.33 x_{24} & -0.61 x_{20} & +  0.38 x_{26} & -9.44 x_{9} & +  0.92 x_{18} & -1.16 x_{31} & +  2.57 x_{12} & -31.90 x_{1} & + 16.56 x_{14} & + 31.63 x_{15}\\
 x_{19}   &  1.15771356414 & + 13.43 x_{29} & + 17.07 x_{17} & + 356.24 x_{4} & + 12.43 x_{32} & -6.97 x_{25} & +  7.80 x_{24} & -14.08 x_{20} & +  9.35 x_{26} & -229.23 x_{9} & + 21.69 x_{18} & -28.00 x_{31} & + 44.18 x_{12} & -759.07 x_{1} & + 381.13 x_{14} & + 744.04 x_{15}\\
 x_{30}   &  13.2214477044 & + 20.16 x_{29} & + 26.06 x_{17} & + 511.18 x_{4} & + 18.04 x_{32} & -10.73 x_{25} & + 10.29 x_{24} & -20.48 x_{20} & + 14.78 x_{26} & -337.45 x_{9} & + 32.24 x_{18} & -40.35 x_{31} & + 64.14 x_{12} & -1147.17 x_{1} & + 551.53 x_{14} & + 1113.05 x_{15}\\
 x_{8}   &  0.168916653546 & +  0.78 x_{29} & +  1.08 x_{17} & + 19.66 x_{4} & +  0.71 x_{32} & -0.47 x_{25} & +  0.39 x_{24} & -0.83 x_{20} & +  0.59 x_{26} & -14.32 x_{9} & +  1.28 x_{18} & -1.70 x_{31} & +  2.34 x_{12} & -46.34 x_{1} & + 21.49 x_{14} & + 44.79 x_{15}\\
 x_{11}   &  0.0329649950809 & +  0.17 x_{29} & +  0.27 x_{17} & +  4.07 x_{4} & +  0.18 x_{32} & -0.13 x_{25} & +  0.12 x_{24} & -0.21 x_{20} & +  0.20 x_{26} & -3.53 x_{9} & +  0.27 x_{18} & -0.40 x_{31} & -0.55 x_{12} & -11.59 x_{1} & +  4.69 x_{14} & + 11.19 x_{15}\\
 x_{33}   &  12.607507823 & +  7.75 x_{29} & +  8.56 x_{17} & + 190.20 x_{4} & +  6.12 x_{32} & -3.67 x_{25} & +  3.54 x_{24} & -6.90 x_{20} & +  4.90 x_{26} & -109.72 x_{9} & + 11.57 x_{18} & -12.85 x_{31} & + 26.14 x_{12} & -392.93 x_{1} & + 190.97 x_{14} & + 383.47 x_{15}\\
\hline
z    &  -1.56472090414 & +  0.68 x_{29} & +  1.40 x_{17} & + 11.26 x_{4} & +  0.90 x_{32} & -1.16 x_{25} & +  0.35 x_{24} & -1.05 x_{20} & +  1.02 x_{26} & -30.05 x_{9} & +  1.29 x_{18} & -2.32 x_{31} & -6.73 x_{12} & -64.08 x_{1} & + 24.80 x_{14} & + 54.50 x_{15}\\
\end{array}\]


 $ x_{4} $ enters and $ x_{22} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.09347744859 & +  0.11 x_{29} & +  0.05 x_{17} & -1.79 x_{22} & +  0.79 x_{32} & +  0.21 x_{25} & +  0.99 x_{24} & +  0.78 x_{20} & +  0.54 x_{26} & -1.55 x_{9} & +  0.09 x_{18} & +  1.67 x_{31} & -12.52 x_{12} & -10.73 x_{1} & +  7.49 x_{14} & + 13.33 x_{15}\\
 x_{28}   &  14.4463059723 & +  1.04 x_{29} & -0.53 x_{17} & -4.17 x_{22} & +  2.17 x_{32} & +  0.25 x_{25} & +  0.68 x_{24} & +  2.98 x_{20} & +  0.66 x_{26} & +  5.22 x_{9} & -0.48 x_{18} & +  3.18 x_{31} & -53.07 x_{12} & -40.47 x_{1} & -12.03 x_{14} & + 14.66 x_{15}\\
 x_{3}   &  0.914474043193 & +  0.09 x_{29} & -0.06 x_{17} & -0.16 x_{22} & +  0.07 x_{32} & +  0.04 x_{25} & +  0.05 x_{24} & +  0.20 x_{20} & +  0.00 x_{26} & +  1.34 x_{9} & -0.04 x_{18} & +  0.22 x_{31} & -2.60 x_{12} & +  0.19 x_{1} & +  0.00 x_{14} & -0.08 x_{15}\\
 x_{2}   &  0.173173917645 & +  0.03 x_{29} & +  0.03 x_{17} & +  0.03 x_{22} & -0.04 x_{32} & +  0.01 x_{25} & -0.06 x_{24} & +  0.00 x_{20} & -0.02 x_{26} & +  0.63 x_{9} & +  0.02 x_{18} & +  0.02 x_{31} & +  0.48 x_{12} & +  0.47 x_{1} & -0.23 x_{14} & -0.92 x_{15}\\
 x_{7}   &  0.662741584903 & +  0.03 x_{29} & -0.05 x_{17} & -0.11 x_{22} & +  0.07 x_{32} & +  0.02 x_{25} & +  0.02 x_{24} & +  0.13 x_{20} & -0.02 x_{26} & +  0.56 x_{9} & -0.00 x_{18} & +  0.16 x_{31} & -0.87 x_{12} & +  0.06 x_{1} & +  0.05 x_{14} & -0.20 x_{15}\\
 x_{13}   &  0.00320150910934 & -0.01 x_{29} & -0.00 x_{17} & +  0.06 x_{22} & -0.05 x_{32} & +  0.03 x_{25} & +  0.01 x_{24} & +  0.00 x_{20} & -0.01 x_{26} & +  1.18 x_{9} & +  0.01 x_{18} & +  0.03 x_{31} & +  0.53 x_{12} & +  1.39 x_{1} & -0.08 x_{14} & -1.34 x_{15}\\
 x_{4}   &  0.0124229351138 & -0.04 x_{29} & -0.05 x_{17} & -0.01 x_{22} & -0.03 x_{32} & +  0.02 x_{25} & -0.02 x_{24} & +  0.05 x_{20} & -0.03 x_{26} & +  0.66 x_{9} & -0.06 x_{18} & +  0.09 x_{31} & -0.22 x_{12} & +  2.18 x_{1} & -1.09 x_{14} & -2.15 x_{15}\\
 x_{21}   &  2.8152860577 & -0.02 x_{29} & -1.20 x_{17} & +  0.74 x_{22} & -1.45 x_{32} & +  1.13 x_{25} & -0.68 x_{24} & +  0.72 x_{20} & -0.98 x_{26} & + 43.85 x_{9} & -0.76 x_{18} & +  1.94 x_{31} & +  3.41 x_{12} & + 58.63 x_{1} & -21.88 x_{14} & -65.65 x_{15}\\
 x_{6}   &  0.191564338251 & +  0.03 x_{29} & +  0.07 x_{17} & -0.09 x_{22} & +  0.10 x_{32} & +  0.00 x_{25} & +  0.00 x_{24} & +  0.05 x_{20} & +  0.06 x_{26} & -1.04 x_{9} & +  0.05 x_{18} & -0.06 x_{31} & -0.38 x_{12} & -3.04 x_{1} & +  0.14 x_{14} & +  2.38 x_{15}\\
 x_{10}   &  0.454270287651 & -0.01 x_{29} & -0.04 x_{17} & -0.14 x_{22} & +  0.05 x_{32} & +  0.04 x_{25} & +  0.04 x_{24} & +  0.07 x_{20} & +  0.03 x_{26} & -0.02 x_{9} & -0.03 x_{18} & +  0.10 x_{31} & -1.24 x_{12} & -0.17 x_{1} & -0.63 x_{14} & +  0.06 x_{15}\\
 x_{23}   &  3.00428921279 & -0.32 x_{29} & -1.63 x_{17} & -0.08 x_{22} & -0.56 x_{32} & +  0.65 x_{25} & +  0.17 x_{24} & +  0.88 x_{20} & -0.55 x_{26} & + 32.77 x_{9} & -1.29 x_{18} & +  2.32 x_{31} & -12.84 x_{12} & + 53.94 x_{1} & -6.83 x_{14} & -44.13 x_{15}\\
 x_{27}   &  4.97017165547 & +  0.82 x_{29} & +  1.04 x_{17} & -1.32 x_{22} & +  1.15 x_{32} & +  0.35 x_{25} & -0.21 x_{24} & +  1.23 x_{20} & -0.10 x_{26} & -10.09 x_{9} & +  0.84 x_{18} & -0.24 x_{31} & +  1.67 x_{12} & -35.93 x_{1} & + 11.52 x_{14} & + 21.14 x_{15}\\
 x_{5}   &  0.490229770758 & +  0.00 x_{29} & -0.09 x_{17} & -0.14 x_{22} & +  0.06 x_{32} & +  0.09 x_{25} & +  0.04 x_{24} & +  0.14 x_{20} & -0.06 x_{26} & +  0.87 x_{9} & -0.09 x_{18} & +  0.22 x_{31} & -0.86 x_{12} & +  2.45 x_{1} & -0.64 x_{14} & -2.22 x_{15}\\
 x_{19}   &  5.58329172858 & +  0.21 x_{29} & -1.19 x_{17} & -3.24 x_{22} & +  1.36 x_{32} & +  1.20 x_{25} & +  1.24 x_{24} & +  2.86 x_{20} & -0.60 x_{26} & +  4.58 x_{9} & -1.22 x_{18} & +  3.07 x_{31} & -33.64 x_{12} & + 19.11 x_{1} & -8.67 x_{14} & -22.75 x_{15}\\
 x_{30}   &  19.5718428952 & +  1.19 x_{29} & -0.14 x_{17} & -4.64 x_{22} & +  2.16 x_{32} & +  1.00 x_{25} & +  0.88 x_{24} & +  3.83 x_{20} & +  0.50 x_{26} & -1.95 x_{9} & -0.64 x_{18} & +  4.23 x_{31} & -47.52 x_{12} & -30.53 x_{1} & -7.80 x_{14} & + 12.75 x_{15}\\
 x_{8}   &  0.41319134907 & +  0.05 x_{29} & +  0.07 x_{17} & -0.18 x_{22} & +  0.10 x_{32} & -0.01 x_{25} & +  0.02 x_{24} & +  0.11 x_{20} & +  0.05 x_{26} & -1.42 x_{9} & +  0.02 x_{18} & +  0.02 x_{31} & -1.96 x_{12} & -3.39 x_{1} & -0.03 x_{14} & +  2.47 x_{15}\\
 x_{11}   &  0.0835758937286 & +  0.02 x_{29} & +  0.07 x_{17} & -0.04 x_{22} & +  0.05 x_{32} & -0.04 x_{25} & +  0.04 x_{24} & -0.02 x_{20} & +  0.09 x_{26} & -0.85 x_{9} & +  0.01 x_{18} & -0.05 x_{31} & -1.44 x_{12} & -2.69 x_{1} & +  0.23 x_{14} & +  2.42 x_{15}\\
 x_{33}   &  14.9703055027 & +  0.69 x_{29} & -1.18 x_{17} & -1.73 x_{22} & +  0.21 x_{32} & +  0.70 x_{25} & +  0.03 x_{24} & +  2.15 x_{20} & -0.41 x_{26} & + 15.11 x_{9} & -0.66 x_{18} & +  3.74 x_{31} & -15.41 x_{12} & + 22.54 x_{1} & -17.14 x_{14} & -25.92 x_{15}\\
\hline
z    &  -1.4248396102 & +  0.26 x_{29} & +  0.82 x_{17} & -0.10 x_{22} & +  0.55 x_{32} & -0.90 x_{25} & +  0.14 x_{24} & -0.52 x_{20} & +  0.71 x_{26} & -22.66 x_{9} & +  0.57 x_{18} & -1.34 x_{31} & -9.19 x_{12} & -39.49 x_{1} & + 12.48 x_{14} & + 30.27 x_{15}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{4} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.17849691646 & -0.14 x_{29} & -0.30 x_{17} & -1.85 x_{22} & +  0.57 x_{32} & +  0.37 x_{25} & +  0.86 x_{24} & +  1.11 x_{20} & +  0.35 x_{26} & +  2.94 x_{9} & -0.35 x_{18} & +  2.27 x_{31} & -14.02 x_{12} & +  4.22 x_{1} & -6.84 x_{4} & -1.40 x_{15}\\
 x_{28}   &  14.309717067 & +  1.45 x_{29} & +  0.04 x_{17} & -4.07 x_{22} & +  2.51 x_{32} & +  0.00 x_{25} & +  0.88 x_{24} & +  2.46 x_{20} & +  0.97 x_{26} & -2.00 x_{9} & +  0.23 x_{18} & +  2.22 x_{31} & -50.67 x_{12} & -64.49 x_{1} & + 10.99 x_{4} & + 38.33 x_{15}\\
 x_{3}   &  0.91451041316 & +  0.09 x_{29} & -0.06 x_{17} & -0.16 x_{22} & +  0.07 x_{32} & +  0.04 x_{25} & +  0.05 x_{24} & +  0.20 x_{20} & +  0.00 x_{26} & +  1.34 x_{9} & -0.04 x_{18} & +  0.22 x_{31} & -2.60 x_{12} & +  0.20 x_{1} & -0.00 x_{4} & -0.08 x_{15}\\
 x_{2}   &  0.170577124103 & +  0.04 x_{29} & +  0.04 x_{17} & +  0.03 x_{22} & -0.03 x_{32} & +  0.01 x_{25} & -0.06 x_{24} & -0.01 x_{20} & -0.01 x_{26} & +  0.50 x_{9} & +  0.04 x_{18} & +  0.01 x_{31} & +  0.53 x_{12} & +  0.01 x_{1} & +  0.21 x_{4} & -0.47 x_{15}\\
 x_{7}   &  0.663360768684 & +  0.03 x_{29} & -0.05 x_{17} & -0.11 x_{22} & +  0.07 x_{32} & +  0.02 x_{25} & +  0.02 x_{24} & +  0.13 x_{20} & -0.02 x_{26} & +  0.59 x_{9} & -0.00 x_{18} & +  0.17 x_{31} & -0.88 x_{12} & +  0.17 x_{1} & -0.05 x_{4} & -0.31 x_{15}\\
 x_{13}   &  0.00233286400337 & -0.01 x_{29} & +  0.00 x_{17} & +  0.06 x_{22} & -0.05 x_{32} & +  0.03 x_{25} & +  0.01 x_{24} & -0.00 x_{20} & -0.01 x_{26} & +  1.13 x_{9} & +  0.01 x_{18} & +  0.02 x_{31} & +  0.54 x_{12} & +  1.24 x_{1} & +  0.07 x_{4} & -1.19 x_{15}\\
 x_{14}   &  0.0113534408704 & -0.03 x_{29} & -0.05 x_{17} & -0.01 x_{22} & -0.03 x_{32} & +  0.02 x_{25} & -0.02 x_{24} & +  0.04 x_{20} & -0.03 x_{26} & +  0.60 x_{9} & -0.06 x_{18} & +  0.08 x_{31} & -0.20 x_{12} & +  2.00 x_{1} & -0.91 x_{4} & -1.97 x_{15}\\
 x_{21}   &  2.56681996614 & +  0.72 x_{29} & -0.18 x_{17} & +  0.92 x_{22} & -0.83 x_{32} & +  0.67 x_{25} & -0.31 x_{24} & -0.24 x_{20} & -0.43 x_{26} & + 30.72 x_{9} & +  0.52 x_{18} & +  0.20 x_{31} & +  7.78 x_{12} & + 14.94 x_{1} & + 20.00 x_{4} & -22.60 x_{15}\\
 x_{6}   &  0.193120980277 & +  0.02 x_{29} & +  0.07 x_{17} & -0.09 x_{22} & +  0.09 x_{32} & +  0.01 x_{25} & -0.00 x_{24} & +  0.06 x_{20} & +  0.05 x_{26} & -0.96 x_{9} & +  0.04 x_{18} & -0.05 x_{31} & -0.40 x_{12} & -2.77 x_{1} & -0.13 x_{4} & +  2.11 x_{15}\\
 x_{10}   &  0.447142034454 & +  0.01 x_{29} & -0.01 x_{17} & -0.13 x_{22} & +  0.07 x_{32} & +  0.03 x_{25} & +  0.05 x_{24} & +  0.04 x_{20} & +  0.04 x_{26} & -0.40 x_{9} & +  0.00 x_{18} & +  0.05 x_{31} & -1.12 x_{12} & -1.43 x_{1} & +  0.57 x_{4} & +  1.29 x_{15}\\
 x_{23}   &  2.9267444211 & -0.09 x_{29} & -1.31 x_{17} & -0.02 x_{22} & -0.36 x_{32} & +  0.51 x_{25} & +  0.28 x_{24} & +  0.58 x_{20} & -0.37 x_{26} & + 28.68 x_{9} & -0.89 x_{18} & +  1.78 x_{31} & -11.47 x_{12} & + 40.31 x_{1} & +  6.24 x_{4} & -30.69 x_{15}\\
 x_{27}   &  5.10092422307 & +  0.43 x_{29} & +  0.50 x_{17} & -1.41 x_{22} & +  0.82 x_{32} & +  0.59 x_{25} & -0.40 x_{24} & +  1.73 x_{20} & -0.40 x_{26} & -3.18 x_{9} & +  0.17 x_{18} & +  0.68 x_{31} & -0.63 x_{12} & -12.93 x_{1} & -10.53 x_{4} & -1.52 x_{15}\\
 x_{5}   &  0.482940282603 & +  0.02 x_{29} & -0.06 x_{17} & -0.14 x_{22} & +  0.07 x_{32} & +  0.08 x_{25} & +  0.05 x_{24} & +  0.11 x_{20} & -0.04 x_{26} & +  0.49 x_{9} & -0.05 x_{18} & +  0.16 x_{31} & -0.74 x_{12} & +  1.17 x_{1} & +  0.59 x_{4} & -0.95 x_{15}\\
 x_{19}   &  5.4848411338 & +  0.51 x_{29} & -0.78 x_{17} & -3.16 x_{22} & +  1.61 x_{32} & +  1.02 x_{25} & +  1.39 x_{24} & +  2.49 x_{20} & -0.38 x_{26} & -0.62 x_{9} & -0.71 x_{18} & +  2.38 x_{31} & -31.91 x_{12} & +  1.80 x_{1} & +  7.92 x_{4} & -5.69 x_{15}\\
 x_{30}   &  19.4832457854 & +  1.46 x_{29} & +  0.22 x_{17} & -4.58 x_{22} & +  2.38 x_{32} & +  0.84 x_{25} & +  1.01 x_{24} & +  3.50 x_{20} & +  0.70 x_{26} & -6.63 x_{9} & -0.18 x_{18} & +  3.61 x_{31} & -45.97 x_{12} & -46.11 x_{1} & +  7.13 x_{4} & + 28.10 x_{15}\\
 x_{8}   &  0.412847509779 & +  0.05 x_{29} & +  0.07 x_{17} & -0.18 x_{22} & +  0.10 x_{32} & -0.01 x_{25} & +  0.02 x_{24} & +  0.10 x_{20} & +  0.05 x_{26} & -1.43 x_{9} & +  0.02 x_{18} & +  0.01 x_{31} & -1.95 x_{12} & -3.45 x_{1} & +  0.03 x_{4} & +  2.53 x_{15}\\
 x_{11}   &  0.0861740114049 & +  0.01 x_{29} & +  0.05 x_{17} & -0.04 x_{22} & +  0.04 x_{32} & -0.03 x_{25} & +  0.04 x_{24} & -0.01 x_{20} & +  0.08 x_{26} & -0.72 x_{9} & -0.00 x_{18} & -0.03 x_{31} & -1.48 x_{12} & -2.23 x_{1} & -0.21 x_{4} & +  1.97 x_{15}\\
 x_{33}   &  14.7756759034 & +  1.27 x_{29} & -0.38 x_{17} & -1.59 x_{22} & +  0.70 x_{32} & +  0.34 x_{25} & +  0.32 x_{24} & +  1.40 x_{20} & +  0.03 x_{26} & +  4.83 x_{9} & +  0.34 x_{18} & +  2.38 x_{31} & -11.99 x_{12} & -11.68 x_{1} & + 15.67 x_{4} & +  7.80 x_{15}\\
\hline
z    &  -1.28314681104 & -0.16 x_{29} & +  0.24 x_{17} & -0.21 x_{22} & +  0.19 x_{32} & -0.64 x_{25} & -0.07 x_{24} & +  0.03 x_{20} & +  0.39 x_{26} & -15.17 x_{9} & -0.17 x_{18} & -0.34 x_{31} & -11.68 x_{12} & -14.57 x_{1} & -11.41 x_{4} & +  5.72 x_{15}\\
\end{array}\]


 $ x_{15} $ enters and $ x_{13} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.1757400244 & -0.13 x_{29} & -0.30 x_{17} & -1.93 x_{22} & +  0.63 x_{32} & +  0.34 x_{25} & +  0.85 x_{24} & +  1.11 x_{20} & +  0.36 x_{26} & +  1.60 x_{9} & -0.36 x_{18} & +  2.24 x_{31} & -14.66 x_{12} & +  2.76 x_{1} & -6.93 x_{4} & +  1.18 x_{13}\\
 x_{28}   &  14.3849379507 & +  1.10 x_{29} & +  0.12 x_{17} & -2.07 x_{22} & +  1.02 x_{32} & +  0.95 x_{25} & +  1.27 x_{24} & +  2.45 x_{20} & +  0.61 x_{26} & + 34.52 x_{9} & +  0.64 x_{18} & +  2.93 x_{31} & -33.11 x_{12} & -24.59 x_{1} & + 13.25 x_{4} & -32.24 x_{13}\\
 x_{3}   &  0.9143496457 & +  0.09 x_{29} & -0.06 x_{17} & -0.17 x_{22} & +  0.07 x_{32} & +  0.04 x_{25} & +  0.05 x_{24} & +  0.20 x_{20} & +  0.00 x_{26} & +  1.27 x_{9} & -0.04 x_{18} & +  0.21 x_{31} & -2.64 x_{12} & +  0.12 x_{1} & -0.01 x_{4} & +  0.07 x_{13}\\
 x_{2}   &  0.169646531989 & +  0.04 x_{29} & +  0.03 x_{17} & +  0.00 x_{22} & -0.01 x_{32} & -0.00 x_{25} & -0.06 x_{24} & -0.01 x_{20} & -0.01 x_{26} & +  0.04 x_{9} & +  0.03 x_{18} & -0.00 x_{31} & +  0.31 x_{12} & -0.48 x_{1} & +  0.18 x_{4} & +  0.40 x_{13}\\
 x_{7}   &  0.662748700763 & +  0.04 x_{29} & -0.05 x_{17} & -0.13 x_{22} & +  0.08 x_{32} & +  0.01 x_{25} & +  0.02 x_{24} & +  0.13 x_{20} & -0.02 x_{26} & +  0.29 x_{9} & -0.01 x_{18} & +  0.16 x_{31} & -1.02 x_{12} & -0.15 x_{1} & -0.07 x_{4} & +  0.26 x_{13}\\
 x_{15}   &  0.00196260688024 & -0.01 x_{29} & +  0.00 x_{17} & +  0.05 x_{22} & -0.04 x_{32} & +  0.02 x_{25} & +  0.01 x_{24} & -0.00 x_{20} & -0.01 x_{26} & +  0.95 x_{9} & +  0.01 x_{18} & +  0.02 x_{31} & +  0.46 x_{12} & +  1.04 x_{1} & +  0.06 x_{4} & -0.84 x_{13}\\
 x_{14}   &  0.00749270103687 & -0.02 x_{29} & -0.05 x_{17} & -0.11 x_{22} & +  0.05 x_{32} & -0.03 x_{25} & -0.04 x_{24} & +  0.04 x_{20} & -0.01 x_{26} & -1.27 x_{9} & -0.08 x_{18} & +  0.04 x_{31} & -1.10 x_{12} & -0.05 x_{1} & -1.03 x_{4} & +  1.65 x_{13}\\
 x_{21}   &  2.52247085278 & +  0.93 x_{29} & -0.23 x_{17} & -0.26 x_{22} & +  0.05 x_{32} & +  0.11 x_{25} & -0.54 x_{24} & -0.23 x_{20} & -0.22 x_{26} & +  9.19 x_{9} & +  0.28 x_{18} & -0.21 x_{31} & -2.57 x_{12} & -8.59 x_{1} & + 18.67 x_{4} & + 19.01 x_{13}\\
 x_{6}   &  0.197259625504 & +  0.00 x_{29} & +  0.07 x_{17} & +  0.02 x_{22} & +  0.01 x_{32} & +  0.06 x_{25} & +  0.02 x_{24} & +  0.06 x_{20} & +  0.03 x_{26} & +  1.05 x_{9} & +  0.06 x_{18} & -0.01 x_{31} & +  0.56 x_{12} & -0.57 x_{1} & -0.00 x_{4} & -1.77 x_{13}\\
 x_{10}   &  0.449682748349 & +  0.00 x_{29} & -0.00 x_{17} & -0.06 x_{22} & +  0.02 x_{32} & +  0.06 x_{25} & +  0.06 x_{24} & +  0.04 x_{20} & +  0.03 x_{26} & +  0.84 x_{9} & +  0.02 x_{18} & +  0.08 x_{31} & -0.52 x_{12} & -0.08 x_{1} & +  0.65 x_{4} & -1.09 x_{13}\\
 x_{23}   &  2.8665133669 & +  0.19 x_{29} & -1.38 x_{17} & -1.63 x_{22} & +  0.83 x_{32} & -0.26 x_{25} & -0.03 x_{24} & +  0.59 x_{20} & -0.09 x_{26} & -0.57 x_{9} & -1.23 x_{18} & +  1.22 x_{31} & -25.54 x_{12} & +  8.35 x_{1} & +  4.44 x_{4} & + 25.82 x_{13}\\
 x_{27}   &  5.09794308862 & +  0.44 x_{29} & +  0.50 x_{17} & -1.49 x_{22} & +  0.88 x_{32} & +  0.55 x_{25} & -0.41 x_{24} & +  1.73 x_{20} & -0.38 x_{26} & -4.62 x_{9} & +  0.15 x_{18} & +  0.65 x_{31} & -1.32 x_{12} & -14.52 x_{1} & -10.61 x_{4} & +  1.28 x_{13}\\
 x_{5}   &  0.481070699685 & +  0.03 x_{29} & -0.06 x_{17} & -0.19 x_{22} & +  0.11 x_{32} & +  0.06 x_{25} & +  0.04 x_{24} & +  0.11 x_{20} & -0.04 x_{26} & -0.42 x_{9} & -0.06 x_{18} & +  0.15 x_{31} & -1.17 x_{12} & +  0.18 x_{1} & +  0.53 x_{4} & +  0.80 x_{13}\\
 x_{19}   &  5.47366499898 & +  0.56 x_{29} & -0.79 x_{17} & -3.46 x_{22} & +  1.83 x_{32} & +  0.88 x_{25} & +  1.33 x_{24} & +  2.49 x_{20} & -0.32 x_{26} & -6.05 x_{9} & -0.77 x_{18} & +  2.28 x_{31} & -34.52 x_{12} & -4.13 x_{1} & +  7.59 x_{4} & +  4.79 x_{13}\\
 x_{30}   &  19.5384029759 & +  1.20 x_{29} & +  0.28 x_{17} & -3.11 x_{22} & +  1.29 x_{32} & +  1.54 x_{25} & +  1.29 x_{24} & +  3.49 x_{20} & +  0.44 x_{26} & + 20.16 x_{9} & +  0.13 x_{18} & +  4.12 x_{31} & -33.09 x_{12} & -16.85 x_{1} & +  8.78 x_{4} & -23.64 x_{13}\\
 x_{8}   &  0.417804518178 & +  0.03 x_{29} & +  0.08 x_{17} & -0.05 x_{22} & +  0.00 x_{32} & +  0.05 x_{25} & +  0.05 x_{24} & +  0.10 x_{20} & +  0.02 x_{26} & +  0.97 x_{9} & +  0.05 x_{18} & +  0.06 x_{31} & -0.79 x_{12} & -0.82 x_{1} & +  0.18 x_{4} & -2.12 x_{13}\\
 x_{11}   &  0.090034099485 & -0.01 x_{29} & +  0.06 x_{17} & +  0.06 x_{22} & -0.03 x_{32} & +  0.02 x_{25} & +  0.06 x_{24} & -0.01 x_{20} & +  0.07 x_{26} & +  1.16 x_{9} & +  0.02 x_{18} & +  0.01 x_{31} & -0.58 x_{12} & -0.18 x_{1} & -0.09 x_{4} & -1.65 x_{13}\\
 x_{33}   &  14.7909891778 & +  1.20 x_{29} & -0.36 x_{17} & -1.18 x_{22} & +  0.39 x_{32} & +  0.53 x_{25} & +  0.40 x_{24} & +  1.40 x_{20} & -0.04 x_{26} & + 12.26 x_{9} & +  0.43 x_{18} & +  2.52 x_{31} & -8.42 x_{12} & -3.56 x_{1} & + 16.13 x_{4} & -6.56 x_{13}\\
\hline
z    &  -1.27192608645 & -0.21 x_{29} & +  0.25 x_{17} & +  0.09 x_{22} & -0.03 x_{32} & -0.50 x_{25} & -0.01 x_{24} & +  0.03 x_{20} & +  0.34 x_{26} & -9.73 x_{9} & -0.10 x_{18} & -0.24 x_{31} & -9.06 x_{12} & -8.62 x_{1} & -11.07 x_{4} & -4.81 x_{13}\\
\end{array}\]


 $ x_{17} $ enters and $ x_{14} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.13147013535 & -0.03 x_{29} & +  5.91 x_{14} & -1.27 x_{22} & +  0.34 x_{32} & +  0.50 x_{25} & +  1.07 x_{24} & +  0.85 x_{20} & +  0.40 x_{26} & +  9.13 x_{9} & +  0.11 x_{18} & +  1.99 x_{31} & -8.15 x_{12} & +  3.07 x_{1} & -0.84 x_{4} & -8.60 x_{13}\\
 x_{28}   &  14.4021802205 & +  1.07 x_{29} & -2.30 x_{14} & -2.32 x_{22} & +  1.13 x_{32} & +  0.89 x_{25} & +  1.18 x_{24} & +  2.55 x_{20} & +  0.60 x_{26} & + 31.59 x_{9} & +  0.46 x_{18} & +  3.03 x_{31} & -35.64 x_{12} & -24.71 x_{1} & + 10.88 x_{4} & -28.44 x_{13}\\
 x_{3}   &  0.905613823819 & +  0.11 x_{29} & +  1.17 x_{14} & -0.04 x_{22} & +  0.02 x_{32} & +  0.07 x_{25} & +  0.09 x_{24} & +  0.15 x_{20} & +  0.01 x_{26} & +  2.75 x_{9} & +  0.05 x_{18} & +  0.16 x_{31} & -1.35 x_{12} & +  0.18 x_{1} & +  1.19 x_{4} & -1.86 x_{13}\\
 x_{2}   &  0.174741374585 & +  0.03 x_{29} & -0.68 x_{14} & -0.07 x_{22} & +  0.02 x_{32} & -0.02 x_{25} & -0.09 x_{24} & +  0.02 x_{20} & -0.01 x_{26} & -0.82 x_{9} & -0.02 x_{18} & +  0.03 x_{31} & -0.44 x_{12} & -0.52 x_{1} & -0.52 x_{4} & +  1.52 x_{13}\\
 x_{7}   &  0.655056535775 & +  0.05 x_{29} & +  1.03 x_{14} & -0.02 x_{22} & +  0.03 x_{32} & +  0.04 x_{25} & +  0.05 x_{24} & +  0.08 x_{20} & -0.01 x_{26} & +  1.60 x_{9} & +  0.08 x_{18} & +  0.12 x_{31} & +  0.11 x_{12} & -0.10 x_{1} & +  0.99 x_{4} & -1.44 x_{13}\\
 x_{15}   &  0.0022765862197 & -0.01 x_{29} & -0.04 x_{14} & +  0.05 x_{22} & -0.04 x_{32} & +  0.02 x_{25} & +  0.01 x_{24} & +  0.00 x_{20} & -0.01 x_{26} & +  0.90 x_{9} & +  0.01 x_{18} & +  0.02 x_{31} & +  0.41 x_{12} & +  1.04 x_{1} & +  0.02 x_{4} & -0.77 x_{13}\\
 x_{17}   &  0.146782284885 & -0.31 x_{29} & -19.59 x_{14} & -2.18 x_{22} & +  0.94 x_{32} & -0.55 x_{25} & -0.72 x_{24} & +  0.86 x_{20} & -0.14 x_{26} & -24.97 x_{9} & -1.57 x_{18} & +  0.85 x_{31} & -21.57 x_{12} & -1.01 x_{1} & -20.17 x_{4} & + 32.42 x_{13}\\
 x_{21}   &  2.48930730816 & +  1.00 x_{29} & +  4.43 x_{14} & +  0.23 x_{22} & -0.16 x_{32} & +  0.23 x_{25} & -0.37 x_{24} & -0.43 x_{20} & -0.18 x_{26} & + 14.83 x_{9} & +  0.63 x_{18} & -0.41 x_{31} & +  2.30 x_{12} & -8.36 x_{1} & + 23.23 x_{4} & + 11.69 x_{13}\\
 x_{6}   &  0.20748190026 & -0.02 x_{29} & -1.36 x_{14} & -0.13 x_{22} & +  0.08 x_{32} & +  0.02 x_{25} & -0.03 x_{24} & +  0.11 x_{20} & +  0.02 x_{26} & -0.69 x_{9} & -0.05 x_{18} & +  0.05 x_{31} & -0.94 x_{12} & -0.64 x_{1} & -1.41 x_{4} & +  0.48 x_{13}\\
 x_{10}   &  0.448965165952 & +  0.00 x_{29} & +  0.10 x_{14} & -0.05 x_{22} & +  0.01 x_{32} & +  0.07 x_{25} & +  0.06 x_{24} & +  0.04 x_{20} & +  0.03 x_{26} & +  0.96 x_{9} & +  0.03 x_{18} & +  0.07 x_{31} & -0.42 x_{12} & -0.08 x_{1} & +  0.75 x_{4} & -1.25 x_{13}\\
 x_{23}   &  2.66400975629 & +  0.62 x_{29} & + 27.03 x_{14} & +  1.37 x_{22} & -0.47 x_{32} & +  0.50 x_{25} & +  0.96 x_{24} & -0.59 x_{20} & +  0.11 x_{26} & + 33.89 x_{9} & +  0.94 x_{18} & +  0.04 x_{31} & +  4.22 x_{12} & +  9.75 x_{1} & + 32.26 x_{4} & -18.91 x_{13}\\
 x_{27}   &  5.17108977745 & +  0.29 x_{29} & -9.76 x_{14} & -2.57 x_{22} & +  1.35 x_{32} & +  0.28 x_{25} & -0.77 x_{24} & +  2.16 x_{20} & -0.45 x_{26} & -17.07 x_{9} & -0.63 x_{18} & +  1.08 x_{31} & -12.07 x_{12} & -15.02 x_{1} & -20.67 x_{4} & + 17.43 x_{13}\\
 x_{5}   &  0.471689859884 & +  0.05 x_{29} & +  1.25 x_{14} & -0.05 x_{22} & +  0.05 x_{32} & +  0.09 x_{25} & +  0.09 x_{24} & +  0.06 x_{20} & -0.03 x_{26} & +  1.18 x_{9} & +  0.04 x_{18} & +  0.09 x_{31} & +  0.21 x_{12} & +  0.24 x_{1} & +  1.82 x_{4} & -1.27 x_{13}\\
 x_{19}   &  5.35728956975 & +  0.81 x_{29} & + 15.53 x_{14} & -1.74 x_{22} & +  1.08 x_{32} & +  1.31 x_{25} & +  1.90 x_{24} & +  1.81 x_{20} & -0.21 x_{26} & + 13.75 x_{9} & +  0.47 x_{18} & +  1.60 x_{31} & -17.42 x_{12} & -3.32 x_{1} & + 23.58 x_{4} & -20.91 x_{13}\\
 x_{30}   &  19.5800991588 & +  1.11 x_{29} & -5.56 x_{14} & -3.73 x_{22} & +  1.56 x_{32} & +  1.38 x_{25} & +  1.09 x_{24} & +  3.73 x_{20} & +  0.40 x_{26} & + 13.06 x_{9} & -0.32 x_{18} & +  4.37 x_{31} & -39.22 x_{12} & -17.14 x_{1} & +  3.06 x_{4} & -14.43 x_{13}\\
 x_{8}   &  0.42912883518 & +  0.00 x_{29} & -1.51 x_{14} & -0.21 x_{22} & +  0.08 x_{32} & +  0.01 x_{25} & -0.01 x_{24} & +  0.17 x_{20} & +  0.01 x_{26} & -0.95 x_{9} & -0.07 x_{18} & +  0.12 x_{31} & -2.46 x_{12} & -0.90 x_{1} & -1.38 x_{4} & +  0.38 x_{13}\\
 x_{11}   &  0.098640192833 & -0.03 x_{29} & -1.15 x_{14} & -0.06 x_{22} & +  0.02 x_{32} & -0.02 x_{25} & +  0.01 x_{24} & +  0.04 x_{20} & +  0.06 x_{26} & -0.31 x_{9} & -0.08 x_{18} & +  0.06 x_{31} & -1.85 x_{12} & -0.24 x_{1} & -1.28 x_{4} & +  0.25 x_{13}\\
 x_{33}   &  14.7375394682 & +  1.32 x_{29} & +  7.13 x_{14} & -0.39 x_{22} & +  0.05 x_{32} & +  0.73 x_{25} & +  0.66 x_{24} & +  1.09 x_{20} & +  0.01 x_{26} & + 21.36 x_{9} & +  1.00 x_{18} & +  2.21 x_{31} & -0.56 x_{12} & -3.19 x_{1} & + 23.47 x_{4} & -18.37 x_{13}\\
\hline
z    &  -1.23524083213 & -0.29 x_{29} & -4.90 x_{14} & -0.45 x_{22} & +  0.21 x_{32} & -0.63 x_{25} & -0.19 x_{24} & +  0.24 x_{20} & +  0.30 x_{26} & -15.97 x_{9} & -0.50 x_{18} & -0.02 x_{31} & -14.45 x_{12} & -8.87 x_{1} & -16.11 x_{4} & +  3.29 x_{13}\\
\end{array}\]


 $ x_{13} $ enters and $ x_{15} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  8.1061181507 & +  0.07 x_{29} & +  6.38 x_{14} & -1.80 x_{22} & +  0.76 x_{32} & +  0.24 x_{25} & +  0.97 x_{24} & +  0.83 x_{20} & +  0.51 x_{26} & -0.88 x_{9} & +  0.02 x_{18} & +  1.76 x_{31} & -12.74 x_{12} & -8.50 x_{1} & -1.02 x_{4} & + 11.14 x_{15}\\
 x_{28}   &  14.3183181573 & +  1.43 x_{29} & -0.76 x_{14} & -4.08 x_{22} & +  2.49 x_{32} & +  0.02 x_{25} & +  0.87 x_{24} & +  2.49 x_{20} & +  0.95 x_{26} & -1.55 x_{9} & +  0.18 x_{18} & +  2.28 x_{31} & -50.82 x_{12} & -62.98 x_{1} & + 10.30 x_{4} & + 36.84 x_{15}\\
 x_{3}   &  0.900126586107 & +  0.13 x_{29} & +  1.27 x_{14} & -0.15 x_{22} & +  0.10 x_{32} & +  0.01 x_{25} & +  0.07 x_{24} & +  0.15 x_{20} & +  0.03 x_{26} & +  0.58 x_{9} & +  0.03 x_{18} & +  0.12 x_{31} & -2.35 x_{12} & -2.33 x_{1} & +  1.15 x_{4} & +  2.41 x_{15}\\
 x_{2}   &  0.179236580882 & +  0.01 x_{29} & -0.76 x_{14} & +  0.02 x_{22} & -0.05 x_{32} & +  0.02 x_{25} & -0.07 x_{24} & +  0.03 x_{20} & -0.03 x_{26} & +  0.95 x_{9} & -0.01 x_{18} & +  0.07 x_{31} & +  0.37 x_{12} & +  1.54 x_{1} & -0.49 x_{4} & -1.97 x_{15}\\
 x_{7}   &  0.650819662126 & +  0.07 x_{29} & +  1.10 x_{14} & -0.10 x_{22} & +  0.10 x_{32} & -0.00 x_{25} & +  0.04 x_{24} & +  0.08 x_{20} & +  0.01 x_{26} & -0.07 x_{9} & +  0.06 x_{18} & +  0.08 x_{31} & -0.66 x_{12} & -2.03 x_{1} & +  0.96 x_{4} & +  1.86 x_{15}\\
 x_{13}   &  0.00294918700906 & -0.01 x_{29} & -0.05 x_{14} & +  0.06 x_{22} & -0.05 x_{32} & +  0.03 x_{25} & +  0.01 x_{24} & +  0.00 x_{20} & -0.01 x_{26} & +  1.17 x_{9} & +  0.01 x_{18} & +  0.03 x_{31} & +  0.53 x_{12} & +  1.35 x_{1} & +  0.02 x_{4} & -1.30 x_{15}\\
 x_{17}   &  0.242395663836 & -0.72 x_{29} & -21.35 x_{14} & -0.18 x_{22} & -0.61 x_{32} & +  0.45 x_{25} & -0.36 x_{24} & +  0.93 x_{20} & -0.55 x_{26} & + 12.81 x_{9} & -1.25 x_{18} & +  1.70 x_{31} & -4.26 x_{12} & + 42.62 x_{1} & -19.51 x_{4} & -42.00 x_{15}\\
 x_{21}   &  2.52377048635 & +  0.85 x_{29} & +  3.79 x_{14} & +  0.95 x_{22} & -0.72 x_{32} & +  0.59 x_{25} & -0.24 x_{24} & -0.40 x_{20} & -0.33 x_{26} & + 28.45 x_{9} & +  0.74 x_{18} & -0.10 x_{31} & +  8.54 x_{12} & +  7.37 x_{1} & + 23.47 x_{4} & -15.14 x_{15}\\
 x_{6}   &  0.208908607741 & -0.02 x_{29} & -1.39 x_{14} & -0.10 x_{22} & +  0.06 x_{32} & +  0.03 x_{25} & -0.02 x_{24} & +  0.12 x_{20} & +  0.02 x_{26} & -0.12 x_{9} & -0.04 x_{18} & +  0.06 x_{31} & -0.68 x_{12} & +  0.01 x_{1} & -1.40 x_{4} & -0.63 x_{15}\\
 x_{10}   &  0.445285786629 & +  0.02 x_{29} & +  0.16 x_{14} & -0.13 x_{22} & +  0.07 x_{32} & +  0.03 x_{25} & +  0.05 x_{24} & +  0.03 x_{20} & +  0.05 x_{26} & -0.50 x_{9} & +  0.01 x_{18} & +  0.04 x_{31} & -1.09 x_{12} & -1.75 x_{1} & +  0.72 x_{4} & +  1.62 x_{15}\\
 x_{23}   &  2.6082433251 & +  0.86 x_{29} & + 28.05 x_{14} & +  0.21 x_{22} & +  0.43 x_{32} & -0.08 x_{25} & +  0.75 x_{24} & -0.63 x_{20} & +  0.35 x_{26} & + 11.85 x_{9} & +  0.76 x_{18} & -0.46 x_{31} & -5.87 x_{12} & -15.70 x_{1} & + 31.88 x_{4} & + 24.50 x_{15}\\
 x_{27}   &  5.2225059559 & +  0.07 x_{29} & -10.71 x_{14} & -1.50 x_{22} & +  0.52 x_{32} & +  0.81 x_{25} & -0.58 x_{24} & +  2.20 x_{20} & -0.67 x_{26} & +  3.25 x_{9} & -0.46 x_{18} & +  1.53 x_{31} & -2.77 x_{12} & +  8.44 x_{1} & -20.31 x_{4} & -22.58 x_{15}\\
 x_{5}   &  0.46794273024 & +  0.07 x_{29} & +  1.32 x_{14} & -0.13 x_{22} & +  0.11 x_{32} & +  0.05 x_{25} & +  0.07 x_{24} & +  0.05 x_{20} & -0.01 x_{26} & -0.30 x_{9} & +  0.03 x_{18} & +  0.06 x_{31} & -0.47 x_{12} & -1.47 x_{1} & +  1.79 x_{4} & +  1.65 x_{15}\\
 x_{19}   &  5.29561186742 & +  1.07 x_{29} & + 16.67 x_{14} & -3.03 x_{22} & +  2.08 x_{32} & +  0.67 x_{25} & +  1.67 x_{24} & +  1.76 x_{20} & +  0.05 x_{26} & -10.62 x_{9} & +  0.27 x_{18} & +  1.05 x_{31} & -28.58 x_{12} & -31.47 x_{1} & + 23.16 x_{4} & + 27.09 x_{15}\\
 x_{30}   &  19.5375306261 & +  1.29 x_{29} & -4.78 x_{14} & -4.62 x_{22} & +  2.25 x_{32} & +  0.94 x_{25} & +  0.93 x_{24} & +  3.70 x_{20} & +  0.58 x_{26} & -3.76 x_{9} & -0.46 x_{18} & +  3.99 x_{31} & -46.92 x_{12} & -36.56 x_{1} & +  2.76 x_{4} & + 18.70 x_{15}\\
 x_{8}   &  0.430238840641 & -0.00 x_{29} & -1.53 x_{14} & -0.19 x_{22} & +  0.06 x_{32} & +  0.02 x_{25} & -0.00 x_{24} & +  0.17 x_{20} & +  0.01 x_{26} & -0.52 x_{9} & -0.07 x_{18} & +  0.13 x_{31} & -2.26 x_{12} & -0.39 x_{1} & -1.37 x_{4} & -0.49 x_{15}\\
 x_{11}   &  0.0993662759638 & -0.03 x_{29} & -1.16 x_{14} & -0.05 x_{22} & +  0.01 x_{32} & -0.01 x_{25} & +  0.02 x_{24} & +  0.04 x_{20} & +  0.06 x_{26} & -0.02 x_{9} & -0.07 x_{18} & +  0.06 x_{31} & -1.71 x_{12} & +  0.09 x_{1} & -1.27 x_{4} & -0.32 x_{15}\\
 x_{33}   &  14.683363634 & +  1.55 x_{29} & +  8.13 x_{14} & -1.52 x_{22} & +  0.93 x_{32} & +  0.17 x_{25} & +  0.46 x_{24} & +  1.05 x_{20} & +  0.24 x_{26} & -0.05 x_{9} & +  0.82 x_{18} & +  1.73 x_{31} & -10.37 x_{12} & -27.91 x_{1} & + 23.10 x_{4} & + 23.80 x_{15}\\
\hline
z    &  -1.22552935322 & -0.33 x_{29} & -5.07 x_{14} & -0.25 x_{22} & +  0.05 x_{32} & -0.53 x_{25} & -0.15 x_{24} & +  0.25 x_{20} & +  0.26 x_{26} & -12.13 x_{9} & -0.46 x_{18} & +  0.06 x_{31} & -12.69 x_{12} & -4.44 x_{1} & -16.04 x_{4} & -4.27 x_{15}\\
\end{array}\]


 $ x_{20} $ enters and $ x_{23} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  11.5090646685 & +  1.20 x_{29} & + 42.98 x_{14} & -1.53 x_{22} & +  1.32 x_{32} & +  0.13 x_{25} & +  1.95 x_{24} & -1.30 x_{23} & +  0.96 x_{26} & + 14.58 x_{9} & +  1.01 x_{18} & +  1.16 x_{31} & -20.41 x_{12} & -28.99 x_{1} & + 40.58 x_{4} & + 43.10 x_{15}\\
 x_{28}   &  24.5443297455 & +  4.81 x_{29} & + 109.23 x_{14} & -3.25 x_{22} & +  4.19 x_{32} & -0.30 x_{25} & +  3.82 x_{24} & -3.92 x_{23} & +  2.30 x_{26} & + 44.92 x_{9} & +  3.14 x_{18} & +  0.49 x_{31} & -73.85 x_{12} & -124.53 x_{1} & + 135.29 x_{4} & + 132.88 x_{15}\\
 x_{3}   &  1.49962113468 & +  0.33 x_{29} & +  7.71 x_{14} & -0.10 x_{22} & +  0.20 x_{32} & -0.00 x_{25} & +  0.25 x_{24} & -0.23 x_{23} & +  0.11 x_{26} & +  3.31 x_{9} & +  0.21 x_{18} & +  0.01 x_{31} & -3.70 x_{12} & -5.94 x_{1} & +  8.48 x_{4} & +  8.04 x_{15}\\
 x_{2}   &  0.285125960273 & +  0.05 x_{29} & +  0.38 x_{14} & +  0.03 x_{22} & -0.04 x_{32} & +  0.02 x_{25} & -0.04 x_{24} & -0.04 x_{23} & -0.02 x_{26} & +  1.44 x_{9} & +  0.02 x_{18} & +  0.05 x_{31} & +  0.14 x_{12} & +  0.90 x_{1} & +  0.81 x_{4} & -0.98 x_{15}\\
 x_{7}   &  0.982814904264 & +  0.18 x_{29} & +  4.68 x_{14} & -0.08 x_{22} & +  0.16 x_{32} & -0.01 x_{25} & +  0.13 x_{24} & -0.13 x_{23} & +  0.05 x_{26} & +  1.44 x_{9} & +  0.16 x_{18} & +  0.02 x_{31} & -1.40 x_{12} & -4.03 x_{1} & +  5.02 x_{4} & +  4.98 x_{15}\\
 x_{13}   &  0.0118293835316 & -0.01 x_{29} & +  0.04 x_{14} & +  0.06 x_{22} & -0.05 x_{32} & +  0.03 x_{25} & +  0.01 x_{24} & -0.00 x_{23} & -0.01 x_{26} & +  1.21 x_{9} & +  0.01 x_{18} & +  0.02 x_{31} & +  0.51 x_{12} & +  1.29 x_{1} & +  0.13 x_{4} & -1.21 x_{15}\\
 x_{17}   &  4.05664210501 & +  0.54 x_{29} & + 19.67 x_{14} & +  0.13 x_{22} & +  0.03 x_{32} & +  0.33 x_{25} & +  0.74 x_{24} & -1.46 x_{23} & -0.04 x_{26} & + 30.14 x_{9} & -0.15 x_{18} & +  1.03 x_{31} & -12.85 x_{12} & + 19.66 x_{1} & + 27.11 x_{4} & -6.18 x_{15}\\
 x_{21}   &  0.878880554982 & +  0.31 x_{29} & -13.90 x_{14} & +  0.82 x_{22} & -0.99 x_{32} & +  0.64 x_{25} & -0.72 x_{24} & +  0.63 x_{23} & -0.55 x_{26} & + 20.97 x_{9} & +  0.27 x_{18} & +  0.19 x_{31} & + 12.24 x_{12} & + 17.27 x_{1} & +  3.36 x_{4} & -30.59 x_{15}\\
 x_{6}   &  0.684851925364 & +  0.13 x_{29} & +  3.73 x_{14} & -0.06 x_{22} & +  0.13 x_{32} & +  0.02 x_{25} & +  0.11 x_{24} & -0.18 x_{23} & +  0.08 x_{26} & +  2.04 x_{9} & +  0.10 x_{18} & -0.03 x_{31} & -1.75 x_{12} & -2.86 x_{1} & +  4.42 x_{4} & +  3.84 x_{15}\\
 x_{10}   &  0.584095574098 & +  0.06 x_{29} & +  1.66 x_{14} & -0.12 x_{22} & +  0.10 x_{32} & +  0.02 x_{25} & +  0.09 x_{24} & -0.05 x_{23} & +  0.07 x_{26} & +  0.13 x_{9} & +  0.05 x_{18} & +  0.02 x_{31} & -1.40 x_{12} & -2.59 x_{1} & +  2.42 x_{4} & +  2.92 x_{15}\\
 x_{20}   &  4.11015007459 & +  1.36 x_{29} & + 44.21 x_{14} & +  0.33 x_{22} & +  0.68 x_{32} & -0.13 x_{25} & +  1.19 x_{24} & -1.58 x_{23} & +  0.54 x_{26} & + 18.67 x_{9} & +  1.19 x_{18} & -0.72 x_{31} & -9.26 x_{12} & -24.74 x_{1} & + 50.24 x_{4} & + 38.60 x_{15}\\
 x_{27}   &  14.2648413012 & +  3.05 x_{29} & + 86.55 x_{14} & -0.77 x_{22} & +  2.02 x_{32} & +  0.53 x_{25} & +  2.03 x_{24} & -3.47 x_{23} & +  0.53 x_{26} & + 44.33 x_{9} & +  2.16 x_{18} & -0.06 x_{31} & -23.13 x_{12} & -45.98 x_{1} & + 90.21 x_{4} & + 62.34 x_{15}\\
 x_{5}   &  0.690115643923 & +  0.14 x_{29} & +  3.71 x_{14} & -0.11 x_{22} & +  0.15 x_{32} & +  0.05 x_{25} & +  0.14 x_{24} & -0.09 x_{23} & +  0.02 x_{26} & +  0.71 x_{9} & +  0.09 x_{18} & +  0.02 x_{31} & -0.97 x_{12} & -2.81 x_{1} & +  4.51 x_{4} & +  3.73 x_{15}\\
 x_{19}   &  12.5428600812 & +  3.47 x_{29} & + 94.62 x_{14} & -2.44 x_{22} & +  3.28 x_{32} & +  0.45 x_{25} & +  3.76 x_{24} & -2.78 x_{23} & +  1.01 x_{26} & + 22.31 x_{9} & +  2.37 x_{18} & -0.22 x_{31} & -44.91 x_{12} & -75.09 x_{1} & + 111.74 x_{4} & + 95.16 x_{15}\\
 x_{30}   &  34.7578910509 & +  6.32 x_{29} & + 158.92 x_{14} & -3.40 x_{22} & +  4.77 x_{32} & +  0.46 x_{25} & +  5.32 x_{24} & -5.84 x_{23} & +  2.59 x_{26} & + 65.39 x_{9} & +  3.95 x_{18} & +  1.32 x_{31} & -81.20 x_{12} & -128.17 x_{1} & + 188.80 x_{4} & + 161.64 x_{15}\\
 x_{8}   &  1.13014962986 & +  0.23 x_{29} & +  6.00 x_{14} & -0.13 x_{22} & +  0.18 x_{32} & -0.00 x_{25} & +  0.20 x_{24} & -0.27 x_{23} & +  0.10 x_{26} & +  2.66 x_{9} & +  0.13 x_{18} & +  0.01 x_{31} & -3.83 x_{12} & -4.60 x_{1} & +  7.18 x_{4} & +  6.09 x_{15}\\
 x_{11}   &  0.262371346927 & +  0.02 x_{29} & +  0.59 x_{14} & -0.04 x_{22} & +  0.04 x_{32} & -0.01 x_{25} & +  0.06 x_{24} & -0.06 x_{23} & +  0.08 x_{26} & +  0.72 x_{9} & -0.03 x_{18} & +  0.04 x_{31} & -2.08 x_{12} & -0.89 x_{1} & +  0.72 x_{4} & +  1.21 x_{15}\\
 x_{33}   &  18.9901100831 & +  2.97 x_{29} & + 54.45 x_{14} & -1.17 x_{22} & +  1.64 x_{32} & +  0.03 x_{25} & +  1.70 x_{24} & -1.65 x_{23} & +  0.81 x_{26} & + 19.52 x_{9} & +  2.07 x_{18} & +  0.97 x_{31} & -20.07 x_{12} & -53.84 x_{1} & + 75.74 x_{4} & + 64.24 x_{15}\\
\hline
z    &  -0.211538782893 & +  0.00 x_{29} & +  5.83 x_{14} & -0.17 x_{22} & +  0.22 x_{32} & -0.57 x_{25} & +  0.14 x_{24} & -0.39 x_{23} & +  0.39 x_{26} & -7.52 x_{9} & -0.17 x_{18} & -0.11 x_{31} & -14.98 x_{12} & -10.54 x_{1} & -3.65 x_{4} & +  5.26 x_{15}\\
\end{array}\]


 $ x_{14} $ enters and $ x_{21} $ leaves 

 \[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{16}   &  14.2263664759 & +  2.15 x_{29} & -3.09 x_{21} & +  1.01 x_{22} & -1.75 x_{32} & +  2.11 x_{25} & -0.27 x_{24} & +  0.65 x_{23} & -0.73 x_{26} & + 79.42 x_{9} & +  1.84 x_{18} & +  1.74 x_{31} & + 17.44 x_{12} & + 24.41 x_{1} & + 50.97 x_{4} & -51.47 x_{15}\\
 x_{28}   &  31.4507562913 & +  7.22 x_{29} & -7.86 x_{21} & +  3.19 x_{22} & -3.61 x_{32} & +  4.72 x_{25} & -1.83 x_{24} & +  1.04 x_{23} & -1.99 x_{26} & + 209.72 x_{9} & +  5.25 x_{18} & +  1.96 x_{31} & + 22.34 x_{12} & + 11.19 x_{1} & + 161.70 x_{4} & -107.48 x_{15}\\
 x_{3}   &  1.98742004768 & +  0.50 x_{29} & -0.56 x_{21} & +  0.35 x_{22} & -0.35 x_{32} & +  0.35 x_{25} & -0.15 x_{24} & +  0.12 x_{23} & -0.19 x_{26} & + 14.95 x_{9} & +  0.36 x_{18} & +  0.11 x_{31} & +  3.10 x_{12} & +  3.65 x_{1} & + 10.35 x_{4} & -8.94 x_{15}\\
 x_{2}   &  0.308911866165 & +  0.06 x_{29} & -0.03 x_{21} & +  0.05 x_{22} & -0.06 x_{32} & +  0.04 x_{25} & -0.06 x_{24} & -0.02 x_{23} & -0.03 x_{26} & +  2.00 x_{9} & +  0.03 x_{18} & +  0.05 x_{31} & +  0.47 x_{12} & +  1.37 x_{1} & +  0.90 x_{4} & -1.81 x_{15}\\
 x_{7}   &  1.27843525273 & +  0.28 x_{29} & -0.34 x_{21} & +  0.20 x_{22} & -0.18 x_{32} & +  0.20 x_{25} & -0.11 x_{24} & +  0.08 x_{23} & -0.13 x_{26} & +  8.49 x_{9} & +  0.25 x_{18} & +  0.08 x_{31} & +  2.71 x_{12} & +  1.78 x_{1} & +  6.15 x_{4} & -5.31 x_{15}\\
 x_{13}   &  0.0144360999372 & -0.01 x_{29} & -0.00 x_{21} & +  0.06 x_{22} & -0.05 x_{32} & +  0.03 x_{25} & +  0.01 x_{24} & -0.00 x_{23} & -0.01 x_{26} & +  1.27 x_{9} & +  0.01 x_{18} & +  0.03 x_{31} & +  0.55 x_{12} & +  1.34 x_{1} & +  0.14 x_{4} & -1.30 x_{15}\\
 x_{17}   &  5.30063931916 & +  0.97 x_{29} & -1.42 x_{21} & +  1.29 x_{22} & -1.38 x_{32} & +  1.23 x_{25} & -0.28 x_{24} & -0.57 x_{23} & -0.81 x_{26} & + 59.82 x_{9} & +  0.23 x_{18} & +  1.30 x_{31} & +  4.47 x_{12} & + 44.11 x_{1} & + 31.87 x_{4} & -49.47 x_{15}\\
 x_{14}   &  0.0632285907682 & +  0.02 x_{29} & -0.07 x_{21} & +  0.06 x_{22} & -0.07 x_{32} & +  0.05 x_{25} & -0.05 x_{24} & +  0.05 x_{23} & -0.04 x_{26} & +  1.51 x_{9} & +  0.02 x_{18} & +  0.01 x_{31} & +  0.88 x_{12} & +  1.24 x_{1} & +  0.24 x_{4} & -2.20 x_{15}\\
 x_{6}   &  0.920600051654 & +  0.22 x_{29} & -0.27 x_{21} & +  0.16 x_{22} & -0.13 x_{32} & +  0.19 x_{25} & -0.08 x_{24} & -0.01 x_{23} & -0.07 x_{26} & +  7.66 x_{9} & +  0.17 x_{18} & +  0.02 x_{31} & +  1.53 x_{12} & +  1.78 x_{1} & +  5.32 x_{4} & -4.36 x_{15}\\
 x_{10}   &  0.688832558108 & +  0.10 x_{29} & -0.12 x_{21} & -0.02 x_{22} & -0.02 x_{32} & +  0.10 x_{25} & +  0.00 x_{24} & +  0.02 x_{23} & +  0.00 x_{26} & +  2.63 x_{9} & +  0.09 x_{18} & +  0.04 x_{31} & +  0.06 x_{12} & -0.53 x_{1} & +  2.82 x_{4} & -0.73 x_{15}\\
 x_{20}   &  6.90530900205 & +  2.34 x_{29} & -3.18 x_{21} & +  2.94 x_{22} & -2.48 x_{32} & +  1.91 x_{25} & -1.10 x_{24} & +  0.43 x_{23} & -1.19 x_{26} & + 85.38 x_{9} & +  2.04 x_{18} & -0.13 x_{31} & + 29.67 x_{12} & + 30.19 x_{1} & + 60.93 x_{4} & -58.67 x_{15}\\
 x_{27}   &  19.7370921031 & +  4.97 x_{29} & -6.23 x_{21} & +  4.33 x_{22} & -4.16 x_{32} & +  4.51 x_{25} & -2.45 x_{24} & +  0.46 x_{23} & -2.88 x_{26} & + 174.91 x_{9} & +  3.82 x_{18} & +  1.11 x_{31} & + 53.08 x_{12} & + 61.55 x_{1} & + 111.14 x_{4} & -128.10 x_{15}\\
 x_{5}   &  0.924730168672 & +  0.22 x_{29} & -0.27 x_{21} & +  0.11 x_{22} & -0.12 x_{32} & +  0.22 x_{25} & -0.06 x_{24} & +  0.08 x_{23} & -0.13 x_{26} & +  6.30 x_{9} & +  0.16 x_{18} & +  0.07 x_{31} & +  2.30 x_{12} & +  1.80 x_{1} & +  5.41 x_{4} & -4.43 x_{15}\\
 x_{19}   &  18.5252809005 & +  5.56 x_{29} & -6.81 x_{21} & +  3.14 x_{22} & -3.47 x_{32} & +  4.80 x_{25} & -1.14 x_{24} & +  1.51 x_{23} & -2.71 x_{26} & + 165.07 x_{9} & +  4.19 x_{18} & +  1.05 x_{31} & + 38.41 x_{12} & + 42.47 x_{1} & + 134.61 x_{4} & -113.04 x_{15}\\
 x_{30}   &  44.8063689928 & +  9.84 x_{29} & -11.43 x_{21} & +  5.98 x_{22} & -6.58 x_{32} & +  7.78 x_{25} & -2.90 x_{24} & +  1.37 x_{23} & -3.66 x_{26} & + 305.18 x_{9} & +  7.01 x_{18} & +  3.45 x_{31} & + 58.75 x_{12} & + 69.28 x_{1} & + 227.22 x_{4} & -188.06 x_{15}\\
 x_{8}   &  1.50927842957 & +  0.36 x_{29} & -0.43 x_{21} & +  0.22 x_{22} & -0.25 x_{32} & +  0.27 x_{25} & -0.11 x_{24} & +  0.00 x_{23} & -0.14 x_{26} & + 11.71 x_{9} & +  0.25 x_{18} & +  0.09 x_{31} & +  1.45 x_{12} & +  2.85 x_{1} & +  8.63 x_{4} & -7.11 x_{15}\\
 x_{11}   &  0.299755775728 & +  0.04 x_{29} & -0.04 x_{21} & -0.00 x_{22} & -0.01 x_{32} & +  0.01 x_{25} & +  0.03 x_{24} & -0.04 x_{23} & +  0.05 x_{26} & +  1.61 x_{9} & -0.01 x_{18} & +  0.04 x_{31} & -1.56 x_{12} & -0.16 x_{1} & +  0.86 x_{4} & -0.09 x_{15}\\
 x_{33}   &  22.4330642564 & +  4.18 x_{29} & -3.92 x_{21} & +  2.04 x_{22} & -2.25 x_{32} & +  2.54 x_{25} & -1.12 x_{24} & +  0.82 x_{23} & -1.34 x_{26} & + 101.68 x_{9} & +  3.12 x_{18} & +  1.70 x_{31} & + 27.88 x_{12} & + 13.82 x_{1} & + 88.90 x_{4} & -55.58 x_{15}\\
\hline
z    &  0.157160066304 & +  0.13 x_{29} & -0.42 x_{21} & +  0.18 x_{22} & -0.20 x_{32} & -0.30 x_{25} & -0.16 x_{24} & -0.12 x_{23} & +  0.16 x_{26} & +  1.27 x_{9} & -0.06 x_{18} & -0.04 x_{31} & -9.84 x_{12} & -3.30 x_{1} & -2.24 x_{4} & -7.57 x_{15}\\
\end{array}\]


 $ x_{9} $ enters and Unbounded Dictionary!


 $ x_{9} $ enters and Unbounded Dictionary!
\end{document}
